Vector Mechanics For Engineers Statics And Dynamics Textbook Questions And Answers

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Chapter: 15 -Problem: 64 >> In the position shown, bar AB has an angular velocity of 10 rad/s counterclockwise. Determine the angular velocity of bars BD and DE. Transcribed Image Text: B 200 mm 75 mm D Fig. P15.64 - 175 mm ? 100 mm A E
Answer Preview: Bar AB Rotation about A Bar BD Plane motion AB 10 rad s CCW 10 rad s k TB A 175mm i VB AB XTB A 10k …

, Chapter: 8 -Problem: 9 >> The coefficients of friction between the block and the rail are ?s = 0.25 and ?k = 0.20. Knowing that ? = 60°, determine the smallest value of P required (a) To start the block moving up the rail, (b) To keep it moving up, (c) To prevent it from moving down. Transcribed Image Text: 135? 600 N Fig.
Answer Preview: a To start block up the rail Free body diagram of block b …

, Chapter: 16 -Problem: 55 >> A drum with a 200-mm radius is attached to a disk with a radius of rA = 150 mm. The disk and drum have a combined mass of 5 kg and a combined radius of gyration of 120 mm and are suspended by two cords. Knowing that TA = 35 N and TB = 25 N, determine the accelerations of points A and B on the cords. Transcribed Image Text:
Answer Preview: 35 N YA sh G 02m 25 N 5 a 5 981 49 05 N 2 5 0 12 …

, Chapter: 15 -Problem: 151 >> The motion of pin P is guided by slots cut in rods AE and BD. Knowing that the rods rotate with the constant angular velocities ?A = 4 rad/s clockwise and ?B = 5 rad/s counterclockwise, determine the velocity of pin P for the position shown. Transcribed Image Text: A -60? 250 mm Fig. P15.150 and P15
Answer Preview: Rod BD and Pin P Rod AD and Pin P Equate right hand members of 1 and …

, Chapter: 15 -Problem: 114 >> A 3-in.-radius drum is rigidly attached to a 5-in.- radius drum as shown. One of the drums rolls without sliding on the surface shown, and a cord is wound around the other drum. Knowing that at the instant shown end D of the cord has a velocity of 6 in./s and an acceleration of 20 in./s2, both directed to the right, determine the accelerations of points A, B, and C of the drums.
Answer Preview: Vector Solution Given Velocity Analysis VD 6i ap 20i VB …

, Chapter: 16 -Problem: 67 >> A thin plate of the shape indicated and of mass m is suspended from two springs as shown. If spring 2 breaks, determine the acceleration at that instant of (a) Point A, (b) Point B. Transcribed Image Text: 1 www A• Fig. P16.67 b no o o o o 2 B
Answer Preview: Statics Kinetics J 1 2 mg A bh W mg mg m m 2 1 m 2 1 T T …

, Chapter: 8 -Problem: 83 >> The block and tackle shown are used to raise a 150-lb load. Each of the 3-in.-diameter pulleys rotates on a 0.5-in.-diameter axle. Knowing that the coefficient of static friction is 0.20, determine the tension in each portion of the rope as the load is slowly raised. Transcribed Image Text: A B D C
Answer Preview: For each pulley Pulley BC Pulle…

, Chapter: 15 -Problem: 78 >> In order to uncoil electrical wire from a 0.6-m-radius spool fixed to a truck, a worker drives to the left with a speed of vA = 5 m/s. At the same time, a second worker holds the cable as he walks to the right with a speed of vB = 3 m/s. Knowing that at the instant shown the thickness of wire on the spool is 40 mm, determine (a) The instantaneous center of rotation of the spool, (b) The velocity
Answer Preview: Strategy kinematics …

, Chapter: 15 -Problem: 59 >> The test rig shown was developed to perform fatigue testing on fitness trampolines. A motor drives the 9-in.-radius flywheel AB, which is pinned at its center point A, in a counterclockwise direction. The flywheel is attached to slider CD by the 18-in. connecting rod BC. Knowing that the “feet” at D should hit the trampoline twice every second, at the instant when ? = 0°, determine (a) The angular
Answer Preview: Given Geometry Relative Velocity Sub 1 into 2 BIA 9 in IC B …

, Chapter: 8 -Problem: 104 >> A hawser is wrapped two full turns around a capstan head. By exerting a 160-lb force on the free end of the hawser, a sailor can resist a force of 10,000 lb on the other end of the hawser. Determine (a) The coefficient of static friction between the hawser and the capstan, (b) The number of times the hawser should be wrapped around the capstan if a 40,000-lb force is to be resisted by the same 160
Answer Preview: a b In 3 2 turns 2 2 4T …

, Chapter: 7 -Problem: 95 >> If dA = 8 ft and dC = 10 ft, determine the components of the reaction at E. Transcribed Image Text: -10 ft-10 ft- BO 200 lb C -10 ft-10 ft- de 400 lb D 200 lb
Answer Preview: Free body Entire cable Free body Portio…

, Chapter: 15 -Problem: 27 >> At the instant shown, the angular velocity of crank OB is 100 rpm in the counterclockwise direction. Knowing that gear C is fixed, determine (a) The angular velocity of the planetary gear B, (b) The angular velocity of the ring gear A. Transcribed Image Text: ??? ??????? ? 12 in. ?? A 0 Fig. P15.2
Answer Preview: Strategy kinematics use …

, Chapter: 8 -Problem: 53 >> Solve Prob. 8.52 assuming that the end of the beam is to be lowered. PROBLEM 8.52 The elevation of the end of the steel beam supported by a concrete floor is adjusted by means of the steel wedges E and F. The base plate CD has been welded to the lower flange of the beam, and the end reaction of the beam is known to be 18 kips. The coefficient of static friction is 0.30 between two steel surfaces
Answer Preview: a b Free body Wed…

, Chapter: 15 -Problem: 122 >> In the two-cylinder air compressor shown, the connecting rods BD and BE are each 190 mm long and crank AB rotates about the fixed point A with a constant angular velocity of 1500 rpm clockwise. Determine the acceleration of each piston when ? = 0. Transcribed Image Text: Fig. P15.122 50 mm -90°- 45°
Answer Preview: ND 0 19 m B 0 05m Lu VE Crank AB Rod BD Components 45 VD ap a 0 …

, Chapter: 8 -Problem: 21 >> The cylinder shown is of weight W and radius r. Express in terms W and r the magnitude of the largest couple M that can be applied to the cylinder if it is not to rotate, assuming the coefficient of static friction to be (a) Zero at A and 0.30 at B, (b) 0.25 at A and 0.30 at B. Transcribed Image Text:
Answer Preview: FBD cylinder For maximum M moti…

, Chapter: 15 -Problem: 19 >> The sprocket wheel and chain shown are being operated at a speed of 600 rpm counterclockwise. When the power is turned off, it is observed that the wheel and chain coast to rest in 4s. Assuming uniformly decelerated motion, determine the magnitude of the velocity and acceleration of point B of the wheel (a) Immediately before the power is turned off, (b) 2.5 s later.
Answer Preview: Initial speed Uniformly accelerating At t 4 s Immediately before power is turned off wo 600 rp…

, Chapter: 16 -Problem: 68 >> A thin plate of the shape indicated and of mass m is suspended from two springs as shown. If spring 2 breaks, determine the acceleration at that instant of (a) Point A, (b) Point B. Transcribed Image Text: 2 A 1 Fig. P16.68 00000000000 45° a weeeeeeee 45° 2 • B
Answer Preview: Since there is no time for displacements to occur …

, Chapter: 7 -Problem: 17 >> A 5-in.-diameter pipe is supported every 9 ft by a small frame consisting of two members as shown. Knowing that the combined weight of the pipe and its contents is 10 lb/ft and neglecting the effect of friction, determine the magnitude and location of the maximum bending moment in member AC. Transcribed Image Text:
Answer Preview: Free body 10 ft section o…

, Chapter: 8 -Problem: 75 >> In the vise shown, the screw is single-threaded in the upper member; it passes through the lower member and is held by a frictionless washer. The pitch of the screw is 3 mm, its mean radius is 12 mm, and the coefficient of static friction is 0.15. Determine the magnitude P of the forces exerted by the jaws when a 60-N?m couple is applied to the screw.
Answer Preview: Block and incline analysis of screw a…

, Chapter: 11 -Problem: 113 >> The initial velocity v0 of a hockey puck is 90 mi/h. Determine (a) The largest value (less than 45°) of the angle ? for which the puck will enter the net, (b) The corresponding time required for the puck to reach the net. Transcribed Image Text: -16 ft C D ? + 2.5 t E 4 ft
Answer Preview: First note and a Horizontal motion Uniform At the front of the net Then Vo 90 mi h 132 ft s x vo cos…

, Chapter: 15 -Problem: 130 >> Knowing that at the instant shown bar DE has an angular velocity of 20 rad/s clockwise and an angular acceleration of 5 rad/s2 counterclockwise, determine in the position shown (a) The angular acceleration of bar BD, (b) The angular acceleration of bar AB. Transcribed Image Text: 8 in. 10 in. D 6
Answer Preview: To determine the angular acceleration of bar BD and bar AB in the given position we can analyze the …

, Chapter: 11 -Problem: 3 >> The vertical motion of mass A is defined by the relation x = cos(10t) - 0.1sin(10t), where x and t are expressed in mm and seconds, respectively. Determine (a) The position, velocity and acceleration of A when t = 0.4 s, (b) The maximum velocity and acceleration of A. Transcribed Image Text: GWW A
Answer Preview: For trigonometric functions set calculator to radians a b Note t…

, Chapter: 7 -Problem: 100 >> Determine (a) Distance dC for which portion DE of the cable is horizontal, (b) The corresponding reactions at A and E. Transcribed Image Text: 6 ft 6 ft B 1 kip 9 ft ¡dB dc 1 kip dp D 2 kips 9 ft 12 ft E
Answer Preview: Free body Entire c…

, Chapter: 8 -Problem: 111 >> The setup shown is used to measure the output of a small turbine. The coefficient of kinetic friction is 0.20 and the reading of each spring scale is 16 lb when the flywheel is at rest. Determine (a) The reading of each scale when the flywheel is rotating clockwise at a constant speed, (b) The couple that must be applied to the flywheel. Assume that the length of the belt does not change.
Answer Preview: a Since the length of the belt is constant the spring in scale B will increas…

, Chapter: 7 -Problem: 139 >> A motor M is used to slowly reel in the cable shown. Knowing that the mass per unit length of the cable is 0.4 kg/m, determine the maximum tension in the cable when h = 5 m. Transcribed Image Text: A -10 m- h C B M
Answer Preview: Solving numerically THE W…

, Chapter: 16 -Problem: 66 >> A thin plate of the shape indicated and of mass m is suspended from two springs as shown. If spring 2 breaks, determine the acceleration at that instant of (a) Point A, (b) Point B. Transcribed Image Text: 2 Vood Ø Ø Ø Ø b- vor o o o o o B I A Fig. P16.66
Answer Preview: Statics Kinetics G Iga EMG 2 1 2m b b 1 6 mg mb 1 T T W T2 1a b 2 …

, Chapter: 10 -Problem: 8 >> Determine the weight W that balances the 10-lb load placed on the linkage shown. Transcribed Image Text: 10 lb —4 in.- Fig. P10.8 A D 2 in. 4 in.- BC EF -3 in- W
Answer Preview: 91011 A B es le I SYF Fr…

, Chapter: 15 -Problem: 69 >> For the oil pump rig shown, link AB causes the beam BCE to oscillate as the crank OA revolves. Knowing that OA has a radius of 0.6 m and at the instant shown the velocity of point D is 1.5 m/s down, determine the angular velocity of arm AB and AO. Transcribed Image Text: 2 m A B -3 m 0.6 m Fig. P15.
Answer Preview: Bar BC Or WBC Equate components VED BC XEIC 1 5 m s 3 3 m VE TEIC 0 4545 …

, Chapter: 11 -Problem: 123 >> Knowing that at the instant shown block B has a velocity of 2 ft/s to the right and an acceleration of 3 ft/s2 to the left, determine (a) The velocity of block A, (b) The acceleration of block A. Transcribed Image Text: A aB=3 ft/s² B VB=2 ft/s
Answer Preview: Given Length of Cable Differentiate Length Equa…

, Chapter: 8 -Problem: 40 >> A uniform 20-kg tube rests on a loading dock with its end B located at a distance a = 0.25 m from the edge C of the dock. A cable attached at end A forming an angle ? = 60° with the tube will be used to move the tube. Knowing that the coefficient of static friction between the tube and the dock is 0.30, determine (a) The smallest value of P for which motion of the tube impends, (b) Whether the t
Answer Preview: Assume slid…

, Chapter: 8 -Problem: 36 >> Two uniform rods each of weight W and length L are maintained in the position shown by a couple M0 applied to rod CD. Knowing that the coefficient of static friction between the rods is 0.40, determine the range of values of M0 for which equilibrium is maintained. Transcribed Image Text: A 0= 30° Mo
Answer Preview: For impending cloc…

, Chapter: 10 -Problem: 10 >> The slender rod AB is attached to a collar B and rests on a small wheel at C. Neglecting the radius of the wheel and the effect of friction, derive an expression for the magnitude of the force Q required to maintain the equilibrium of the rod. Transcribed Image Text: Fig. P10.10 BQ
Answer Preview: Virtual Work We note that …

, Chapter: 7 -Problem: 97 >> Knowing that dC = 5 m, determine (a) The distances dB and dD, (b) The maximum tension in the cable. Transcribed Image Text: 2.5 m 2 m da B 10 KN 3 m- C 2 m 10 KN dp D 10 KN -3 m E
Answer Preview: Free body Entire …

, Chapter: 8 -Problem: 62 >> An 8° wedge is to be forced under a machine base at B. Knowing that the coefficient of static friction at all surfaces of contact is 0.15, (a) Determine the force P required to move the wedge, (b) Indicate whether the machine base will slide on the floor. Transcribed Image Text: 200 lb |3R Fig. P8
Answer Preview: Free body Machine base Free body Wedge Assume machine base …

, Chapter: 15 -Problem: 41 >> Rod AB can slide freely along the floor and the inclined plane. At the instant shown, the velocity of end A is 1.4 m/s to the left. Determine (a) The angular velocity of the rod, (b) The velocity of end B of the rod. Transcribed Image Text: 500 mm Fig. P15.41 and P15.42 125 mm B 300 mm
Answer Preview: A B 0 5m B 0 3m 0 125m Geometry Velocity analysis sin 3 tan 0 0 3 0 5 0 3 0 125 3 36 87 0 6…

, Chapter: 8 -Problem: 23 >> The 10-lb uniform rod AB is held in the position shown by the force P. Knowing that the coefficient of static friction is 0.20 at A and B, determine the smallest value of P for which equilibrium is maintained. Transcribed Image Text: 7.5 in. P A Fig. P8.23 G -8 in.- B 15 in
Answer Preview: Free bo…

, Chapter: 16 -Problem: 59 >> The steel roll shown has a mass of 1200 kg, has a centroidal radius of gyration of 150 mm, and is lifted by two cables looped around its shaft. Knowing that at the instant shown the acceleration of the roll is 150 mm/s2 downward and that for each cable TA = 3000 N, determine (a) The corresponding tension TB, (b) The angular acceleration of the roll.
Answer Preview: Data m 1200 kg mk 1200 0 150 27 kg m 0 100 0 050 m d 100 2 2 …

, Chapter: 19 -Problem: 49 >> A uniform disk of radius r = 250 mm is attached at A to a 650-mm rod AB of negligible mass that can rotate freely in a vertical plane about B. Determine the period of small oscillations (a) If the disk is free to rotate in a bearing at A, (b) If the rod is riveted to the disk at A. Transcribed Image Text:
Answer Preview: 81 mg T l=0,650m F 1 == 2 == 2 (0 250) m m= a, la=0 65…

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, Chapter: 16 -Problem: 39 >> A belt of negligible mass passes between cylinders A and B and is pulled to the right with a force P. Cylinders A and B weigh, respectively, 5 and 20 lb. The shaft of cylinder A is free to slide in a vertical slot and the coefficients of friction between the belt and each of the cylinders are ?s = 0.50 and ?k = 0.40. For P = 3.6 lb, determine (a) Whether slipping occurs between the belt and eithe
Answer Preview: Assume that no slipping occurs. Then: Cylinder A. abelt = (4 in.) a = (8 in.) ag 4 12 .f…

, Chapter: 19 -Problem: 117 >> A 180-kg motor is bolted to a light horizontal beam. The unbalance of its rotor is equivalent to a 28-g mass located 150 mm from the axis of rotation, and the static deflection of the beam due to the weight of the motor is 12 mm. The amplitude of the vibration due to the unbalance can be decreased by adding a plate to the base of the motor. If the amplitude of vibration is to be less than 60 ?m fo
Answer Preview: Before the plate is added, Equivalent spring constant: Nat…

, Chapter: 19 -Problem: 80 >> A 3-kg slender rod AB is bolted to a 5-kg uniform disk. A spring of constant 280 N/m is attached to the disk and is unstretched in the position shown. If end B of the rod is given a small displacement and released, determine the period of vibration of the system. Transcribed Image Text: ww Fig. P19.
Answer Preview: Ar B o 8. m G m krom r= 0 08m l = 0 3m A [.2/2 masg X2/2 B …

, Chapter: 17 -Problem: 7 >> Disk A has a mass of 4 kg and a radius r = 75 mm; it is at rest when it is placed in contact with the belt, which moves at a constant speed v = 18 m/s. Knowing that ?k = 0.25 between the disk and the belt, determine the number of revolutions executed by the disk before it reaches a constant angular velocity. Transcribed Im
Answer Preview: Strategy: Kinetics, w…

, Chapter: 16 -Problem: 62 >> Two uniform cylinders, each of weight W = 14 lb and radius r = 5 in., are connected by a belt as shown. If the system is released from rest, determine (a) The angular acceleration of each cylinder, (b) The tension in the portion of belt connecting the two cylinders, (c) The velocity of the center of the cylinder A after it has moved through 3 ft.
Answer Preview: Kinematics Let a A the disks, a B. =aA = Kinetics: Disk A: = a AB a B be the acceleration of the cen…

, Chapter: 19 -Problem: 115 >> A motor of weight 100 lb is supported by four springs, each of constant 250 lb/in. The motor is constrained to move vertically, and the amplitude of its motion is observed to be 0.04 in. at a speed of 1200 rpm. Knowing that the weight of the rotor is 5 lb, determine the distance between the mass center of the rotor and the axis of the shaft.
Answer Preview: W = 100 lb Four springs each of constant 250 lb/in. We note that the mot…

, Chapter: 16 -Problem: 30 >> The 180-mm-radius disk is at rest when it is placed in contact with a belt moving at a constant speed. Neglecting the weight of the link AB and knowing that the coefficient of kinetic friction between the disk and the belt is 0.40, determine the angular acceleration of the disk while slipping occurs. Transcribed Image Text
Answer Preview: Belt: Disk: + F = AN SF = = max F-44 G=66 News 11 As N-FAB COS 0 = 0 FAB CO…

, Chapter: 17 -Problem: 49 >> Three shafts and four gears are used to form a gear train that will transmit 7.5 kW from the motor at A to a machine tool at F. (Bearings for the shafts are omitted from the sketch.) Knowing that the frequency of the motor is 30 Hz, determine the magnitude of the couple that is applied to shaft (a) AB, (b) CD, (c) EF.
Answer Preview: Kinematics. Gears B and C. Gears D and E. (a) Shaft AB. (b) Shaft CD. (c) Shaft EF. WAB = 30 …

, Chapter: 16 -Problem: 33 >> The flywheel shown has a radius of 20 in., a weight of 250 lb, and a radius of gyration of 15 in. A 30-lb block A is attached to a wire that is wrapped around the flywheel, and the system is released from rest. Neglecting the effect of friction, determine (a) The acceleration of block A, (b) The speed of block A after it has moved 5 ft.
Answer Preview: Kinematics: Ad A a=rd OR 2=%r 11 +) M = Ia+mad: B Kinetics: B a W=M9 B By …

, Chapter: 17 -Problem: 19 >> An adapted golf device attaches to a wheelchair to help people with mobility impairments play putt-putt. The stationary frame OD is attached to the wheelchair, and a club holder OB is attached to the pin at O. Holder OB is 6 in. long and weighs 8 oz, and the distance between O and D is x = 1 ft. The putter shaft has a length of L = 36 in. and weighs 10 oz, while the putter head at A weighs 12 oz.
Answer Preview: Given: 18 MA X = MOA Diagram of two positions: pos. 1 MOB 10 oz 16(32 2 ft/s) 8 oz 1 16(32 …

, Chapter: 19 -Problem: 83 >> An 800-g rod AB is bolted to a 1.2-kg disk. A spring of constant k = 12 N/m is attached to the center of the disk at A and to the wall at C. Knowing that the disk rolls without sliding, determine the period of small oscillations of the system. Transcribed Image Text: 600 mm r = 250 mm A Fig. P19.83
Answer Preview: T 0= 0 3M 0 3m i m rom P=0 25m letom B WAB 9 Position (1) MAB T = {(TG…

, Chapter: 17 -Problem: 35 >> The 1.5-kg uniform slender bar AB is connected to the 3-kg gear B that meshes with the stationary outer gear C. The centroidal radius of gyration of gear B is 30 mm. Knowing that the system is released from rest in the position shown, determine (a) The angular velocity of the bar as it passes through the vertical position, (b) The corresponding angular velocity of gear B.
Answer Preview: Kinematics: Moments of inertia. Kinetic energy. = T = -1/14(1 5). …

, Chapter: 16 -Problem: 38 >> The 25-lb double pulley shown is at rest and in equilibrium when a constant 3.5-lb·ft couple M is applied. Neglecting the effect of friction and knowing that the radius of gyration of the double pulley is 6 in., determine (a) The angular acceleration of the double pulley, (b) The tension in each rope. Transcribed Image T
Answer Preview: Given: Free Body Diagrams: 3 5 ft-lb T Ha 25 slugs, …

, Chapter: 16 -Problem: 16 >> Three bars, each of mass 3 kg, are welded together and pin-connected to two links BE and CF. Neglecting the weight of the links, determine the force in each link immediately after the system is released from rest. Transcribed Image Text: E 450 mm Fig. P16.16 50° A B 450 mm- F D C 50°
Answer Preview: 50 A EBE Mass center of ABCD is at G 450 mm W=mg 225mm …

, Chapter: 16 -Problem: 6 >> A 2000-kg truck is being used to lift a 400-kg boulder B that is on a 50-kg pallet A. Knowing the acceleration of the rear-wheel-drive truck is 1 m/s2, determine (a) The reaction at each of the front wheels, (b) The force between the boulder and the pallet. Transcribed Image Text: 1 m Fig. P16.6 1
Answer Preview: Kinematics: Acceleration of truck: a Then, = When the truck moves 1 m to the left, the boulder …

, Chapter: 19 -Problem: 67 >> A period of 6.00 s is observed for the angular oscillations of a 4-oz gyroscope rotor suspended from a wire as shown. Knowing that a period of 3.80 s is obtained when a 1.25-in.-diameter steel sphere is suspended in the same fashion, determine the centroidal radius of gyration of the rotor. (Specific weight of steel = 490 lb/ft3)
Answer Preview: 1) = () : K0=10 - K 8+8=0 n = T= 2 K= = = K = I K 4 7 KT M = Ke + _…

, Chapter: 17 -Problem: 20 >> A 10-kg storm window measuring 900 × 1500 mm is held by hinges at A and B. In the position shown, it is held away from the side of the house by a 600-mm stick CD. If the stick is suddenly removed, allowing the window to swing shut, determine immediately before impact (a) The angular velocity of the window, (b) The reactions at A and B.
Answer Preview: Strategy: conservation of energy and Newton's 2nd Law Geometry And Energy, IG = 1 …

, Chapter: 16 -Problem: 5 >> A uniform rod BC of mass 4 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass of the collar and cord, determine (a) The smallest constant acceleration aA for which the cord and the rod will lie in a straight line, (b) The corresponding tension in the cord. Transcribed Image Text:
Answer Preview: Geometry and kinematics: Distance between collar and floor = AD = 250 mm + 350 mm = 600 mm …

, Chapter: 15 -Problem: 65 >> Linkage DBEF is part of a windshield wiper mechanism, where points O, F, and D are fixed pin connections. At the position shown, ? = 30° and link EB is horizontal. Knowing that link EF has a counterclockwise angular velocity of 4 rad/s at the instant shown, determine the angular velocity of links EB and DB. Transcribed Ima
Answer Preview: Given Geometry Relative Velocity Sub 1 into 2 3 Put in known values Equate Components i 0 60 WEF 4 …

, Chapter: 16 -Problem: 20 >> The coefficients of friction between the 30-lb block and the 5-lb platform BD are ?s = 0.50 and ?k = 0.40. Determine the accelerations of the block and of the platform immediately after wire AB has been cut. Transcribed Image Text: A B 30?? C 30 lb Fig. P16.20 5 lb -18 in. D 30? E
Answer Preview: Assume that the block does not slide relative to the platform. Dr…

, Chapter: 17 -Problem: 52 >> The rotor of an electric motor has a mass of 25 kg, and it is observed that 4.2 min is required for the rotor to coast to rest from an angular velocity of 3600 rpm. Knowing that kinetic friction produces a couple of magnitude 1.2 N·m, determine the centroidal radius of gyration for the rotor.
Answer Preview: Coasting time: Initial angular velocity: Principle of impulse and mom…

, Chapter: 19 -Problem: 110 >> The 2.75-lb bob of a simple pendulum of length l = 24 in. is suspended from a 3-lb collar C. The collar is forced to move according to the relation xC = ?m sin ?f t, with an amplitude ?m = 0.4 in. and a frequency ff = 0.5 Hz. Determine (a) The amplitude of the motion of the bob, (b) The force that must be applied to collar C to maintain the motion.
Answer Preview: (a) F = max -T sin0 = mx EFT cos-mg = 0 mx + For small angles cos 1. A…

, Chapter: 19 -Problem: 59 >> A 6-lb slender rod is suspended from a steel wire that is known to have a torsional spring constant K = 1.5 ft·lb/rad. If the rod is rotated through 180° about the vertical and released, determine (a) The period of oscillation, (b) The maximum velocity of end A of the rod. Transcribed Image Text:
Answer Preview: Equation of motion. EMG=E(MG) eff: -KO=T +w0=0 Data…

, Chapter: 19 -Problem: 62 >> A homogeneous rod of mass per unit length equal to 0.4 kg/m is used to form the assembly shown, which rotates freely about pivot A in a vertical plane. Knowing that the assembly is displaced 2° clockwise from its equilibrium position and released, determine its angular velocity and angular acceleration 5 s later. Transcrib
Answer Preview: r= 0 2m A m2 b m = 0 4 (2r), b= - m 2 m + m 1 + A m = …

, Chapter: 17 -Problem: 39 >> The ends of a 9-lb rod AB are constrained to move along slots cut in a vertical plate as shown. A spring of constant k = 3 lb/in. is attached to end A in such a way that its tension is zero when ? = 0. If the rod is released from rest when ? = 50°, determine the angular velocity of the rod and the velocity of end B when ? = 0.
Answer Preview: Position 1. sin so L Losso DATUM V V = (9 lb) L = -W 2 VB = …

, Chapter: 17 -Problem: 57 >> Disk A, of weight 5 lb and radius r = 3 in., is at rest when it is placed in contact with a belt that moves at a constant speed v = 50 ft/s. Knowing that ?k = 0.20 between the disk and the belt, determine the time required for the disk to reach a constant angular velocity. Transcribed Image Text: A
Answer Preview: Moment of inertia. Final state of constant angul…

, Chapter: 19 -Problem: 90 >> Two 12-lb uniform disks are attached to the 20-lb rod AB as shown. Knowing that the constant of the spring is 30 lb/in. and that the disks roll without sliding, determine the frequency of vibration of the system. Transcribed Image Text: www Fig. P19.90 A 8 in. 8 in. D B
Answer Preview: H = MAX SPRING DEFORMATION D B A Wm= C 2 Um Y Vm Vm 8 Position 1: …

, Chapter: 19 -Problem: 41 >> A 15-lb slender rod AB is riveted to a 12-lb uniform disk as shown. A belt is attached to the rim of the disk and to a spring that holds the rod at rest in the position shown. If end A of the rod is moved 0.75 in. down and released, determine (a) The period of vibration, (b) The maximum velocity of end A. Transcribed Ima
Answer Preview: e NIF + mg r hgt Bx kx AX IAGX m(w =) m(at) B I K DISK L Equation of motion. +MB=(…

, Chapter: 17 -Problem: 74 >> Two uniform cylinders, each of mass m = 6 kg and radius r = 125 mm, are connected by a belt as shown. If the system is released from rest when t = 0, determine (a) The velocity of the center of cylinder B at t = 3 s, (b) The tension in the portion of belt connecting the two cylinders. Transcribed Image Text:
Answer Preview: Kinematics. VAB =rWB Point C is the instantaneous center of cylinder A. Mom…

, Chapter: 16 -Problem: 2 >> A 60-lb uniform thin panel is placed in a truck with end A resting on a rough horizontal surface and end B supported by a smooth vertical surface. Knowing that the panel remains in the position shown, determine (a) The maximum allowable acceleration of the truck, (b) The corresponding minimum required coefficient of static friction at end A.
Answer Preview: Given: Free Body Diagram: Kinetics: (a) m = W 8 60 lb 32 2 ft/s = 1 …

, Chapter: 19 -Problem: 38 >> A belt is placed around the rim of a 500-lb flywheel and attached as shown to two springs, each of constant k = 85 lb/in. If end C of the belt is pulled 1.5 in. down and released, the period of vibration of the flywheel is observed to be 0.5 s. Knowing that the initial tension in the belt is sufficient to prevent slipping, determine (a) The maximum angular velocity of the flywheel, (b) The centr
Answer Preview: Denote the in…

, Chapter: 19 -Problem: 120 >> One of the tail rotor blades of a helicopter has an unbalanced weight of 1 lb at a distance of e = 6 in. from the axis of rotation. The fuselage can be considered to be fixed, and the tail rotor and tail can be modeled as an equivalent stiffness of 8800 lb/ft and an equivalent weight of 165 lb. Knowing that the blades rotate at 500 rpm, determine the forced response of the tail section.
Answer Preview: So, So, 1 m= W = 1 lb 32 2 ft/s M = W W K M = 0 031056 lb-s/ft e = 6 i…

, Chapter: 16 -Problem: 51 >> A force P with a magnitude of 3 N is applied to a tape wrapped around the body indicated. Knowing that the body rests on a frictionless horizontal surface, determine the acceleration of (a) Point A, (b) Point B A uniform disk of mass 2.4 kg. Transcribed Image Text: N Fig. P16.51 A C B P X
Answer Preview: Disk: 1 2 + EFx = (Fx)et: P = ma a = +)EM = la: Pr=Ia = P…

, Chapter: 17 -Problem: 5 >> The flywheel of a punching machine has a weight of 650 lb and a radius of gyration of 30 in. Each punching operation requires 1800 ft·lb of work. (a) Knowing that the speed of the flywheel is 300 rpm just before a punching, determine the speed immediately after the punching.(b) If a constant 15 lb·ft couple is applied to the shaft of the flywheel, determine the number of revolutions executed befor
Answer Preview: Moment of Inertia. I = mk Kinetic energy. Position 1. W (b) -k Position 2. Work. Principle o…

, Chapter: 17 -Problem: 47 >> The 80-mm-radius gear shown has a mass of 5 kg and a centroidal radius of gyration of 60 mm. The 4-kg rod AB is attached to the center of the gear and to a pin at B that slides freely in a vertical slot. Knowing that the system is released from rest when ? = 60°, determine the velocity of the center of the gear when ? = 20°.
Answer Preview: Kinematics. VAVA Point D is the instantaneous center of rod AB. Angular velocity of gear VB = VB …

, Chapter: 19 -Problem: 61 >> Two uniform rods, each of weight W = 24 lb and length L = 40 in., are welded together to form the assembly shown. Knowing that the constant of each spring is k = 50 lb/ft and that end A is given a small displacement and released, determine the frequency of the resulting motion. Transcribed Image Text:
Answer Preview: mg JIN MBD G Moog! Ax PELO ( + 1,0 2 24 (12) | L MAC8 2k (1/4+1/7) m 6 M = (Mo) eff 0 = m =m…

, Chapter: 17 -Problem: 43 >> The 4-kg rod AB is attached to a collar of negligible mass at A and to a flywheel at B. The flywheel has a mass of 16 kg and a radius of gyration of 180 mm. Knowing that in the position shown the angular velocity of the flywheel is 60 rpm clockwise, determine the velocity of the flywheel when point B is directly below C. T
Answer Preview: Moments of inertia. Rod AB: Flywheel: Position 1. As shown. Kinematics. 1 TAB==MABLAB 1…

, Chapter: 19 -Problem: 72 >> Determine the period of small oscillations of a small particle that moves without friction inside a cylindrical surface of radius R. Transcribed Image Text: R Fig. P19.72
Answer Preview: Datum at (2) Position (1) Small oscillations: T=0 VWR(1-cosm) …

, Chapter: 19 -Problem: 78 >> Blade AB of the experimental wind-turbine generator shown is to be temporarily removed. Motion of the turbine generator about the y axis is prevented, but the remaining three blades may oscillate as a unit about the x axis. Assuming that each blade can be modeled as a 100-ft slender rod, determine the period of small oscillations of the blades.
Answer Preview: Position 1 A T 0m E =10 2 ym = D + (1-cos) = 1 1 2 2 0 Note: he…

, Chapter: 17 -Problem: 46 >> The uniform rods AB and BC weigh 2.4 kg and 4 kg, respectively, and the small wheel at C is of negligible weight. Knowing that in the position shown the velocity of wheel C is 2 m/s to the right, determine the velocity of pin B after rod AB has rotated through 90°. Transcribed Image Text: B 360 mm A
Answer Preview: Moments of inertia. Rod AB: LABLAB (2 4)(0 36)=0 10368 kg. m IA = 3 Rod BC: 1=…

, Chapter: 17 -Problem: 21 >> A collar with a mass of 1 kg is rigidly attached at a distance d = 300 mm from the end of a uniform slender rod AB. The rod has a mass of 3 kg and is of length L = 600 mm. Knowing that the rod is released from rest in the position shown, determine the angular velocity of the rod after it has rotated through 90°. Transcribe
Answer Preview: Kinematics. Rod Collar Position 1. Position 2. L 2 Vc = dw VR = w=0 T=0 V=0 T = 1/2mx + 1/ …

, Chapter: 17 -Problem: 13 >> The gear train shown consists of four gears of the same thickness and of the same material; two gears are of radius r, and the other two are of radius nr. The system is at rest when the couple M0 is applied to shaft C. Denoting by I0 the moment of inertia of a gear of radius r, determine the angular velocity of shaft A if the couple M0 is applied for one revolution of shaft C.
Answer Preview: Mass and moment of inertia: For a disk of radius r a…

, Chapter: 16 -Problem: 32 >> In order to determine the mass moment of inertia of a flywheel of radius 600 mm, a 12-kg block is attached to a wire that is wrapped around the flywheel. The block is released and is observed to fall 3 m in 4.6 s. To eliminate bearing friction from the computation, a second block of mass 24 kg is used and is observed to fall 3 m in 3.1 s. Assuming that the moment of the couple due to friction rema
Answer Preview: Kinematics: 3 cl=rd A OR = Kinetics: WW=MAS A 7% ma 4 Case 1: +)M…

, Chapter: 17 -Problem: 51 >> The drive belt on a vintage sander transmits ½ hp to a pulley that has a diameter of d = 4 in. Knowing that the pulley rotates at 1450 rpm, determine the tension difference T1 ? T2 between the tight and slack sides of the belt. Transcribed Image Text: Fig. P17.51 T? T2
Answer Preview: Given: P=0 5 HP X- = 275 ft-lb/s ft 3 w=1450 550 ft…

, Chapter: 19 -Problem: 116 >> A motor weighing 400 lb is supported by springs having a total constant of 1200 lb/in. The unbalance of the rotor is equivalent to a 1-oz weight located 8 in. from the axis of rotation. Determine the range of allowable values of the motor speed if the amplitude of the vibration is not to exceed 0.06 in. Transcribed Image T
Answer Preview: Let M = mass of motor, m= unbalance mass, r = eccentricity Natural circular f…

, Chapter: 16 -Problem: 11 >> A completely filled barrel and its contents have a combined mass of 90 kg and a center of mass at G. A cylinder C with a mass of 200 kg is connected to the barrel as shown. Knowing ?s = 0.40 and ?k = 0.35, determine the maximum height h so the barrel will not tip. Transcribed Image Text: 900 mm 450
Answer Preview: Kinematics: Assume that the barrel is sliding, but not tipping. a = 0 ag=a …

, Chapter: 17 -Problem: 4 >> Two disks of the same material are attached to a shaft as shown. Disk A has a radius r and a thickness b, while disk B has a radius nr and a thickness 2b. A couple M with a constant magnitude is applied when the system is at rest and is removed after the system has executed two revolutions. Determine the value of n that results in the largest final speed for a point on the rim of disk B.
Answer Preview: For any disk: Moment of inertia. Disk A: Disk B: Work-energy. T=0 m=p(rt) I ==- mr 1 = 1 2 1A== pbr …

, Chapter: 19 -Problem: 108 >> The crude-oil pumping rig shown is driven at 20 rpm. The inside diameter of the well pipe is 2 in., and the diameter of the pump rod is 0.75 in. The length of the pump rod and the length of the column of oil lifted during the stroke are essentially the same, and equal to 6000 ft. During the downward stroke, a valve at the lower end of the pump rod opens to let a quantity of oil into the well pipe,
Answer Preview: Forcing frequency: Cross sectional area of the flow chamber Aoil = [(2 in.) (0 75 in.…

, Chapter: 19 -Problem: 65 >> A 60-kg uniform circular plate is welded to two elastic rods, which have fixed ends at supports A and B as shown. The torsional spring constant of each rod is 200 N·m/rad, and the system is in equilibrium when the plate is vertical. Knowing that the plate is rotated 2° about axis AB and released, determine (a) The period of oscillation, (b) The magnitude of the maximum velocity of the mass cente
Answer Preview: AB to G 2k0 mg So, IAB = EMAR-2k0-mg (b sin 0) = IAB 2k0 mg(b A…

, Chapter: 16 -Problem: 43 >> Disk A has a mass mA = 4 kg, a radius rA = 300 mm, and an initial angular velocity ?0 = 300 rpm clockwise. Disk B has a mass mB = 1.6 kg, a radius rB = 180 mm, and is at rest when it is brought into contact with disk A. Knowing that ?k = 0.35 between the disks and neglecting bearing friction, determine (a) The angular acceleration of each disk, (b) The reaction at the support C.
Answer Preview: (a) Disk B. Thus, EF=ma,: N-WB=0 N=WB = mB8 F = N = MB 8 +)MB = Ia+mad: Fr = BB 1 …

, Chapter: 17 -Problem: 15 >> Gear A has a mass of 1 kg and a radius of gyration of 30 mm; gear B has a mass of 4 kg and a radius of gyration of 75 mm; gear C has a mass of 9 kg and a radius of gyration of 100 mm. The system is at rest when a couple M0 of constant magnitude 4 N·m is applied to gear C. Assuming that no slipping occurs between the gears, determine the number of revolutions required for disk A to reach an angular
Answer Preview: Moments of inertia: I = mk Gear A: Gear B: IA = (1 kg)(0 030 m) = 0 910 kg m IB = (4 kg)(0 075 m) = …

, Chapter: 16 -Problem: 14 >> Bars AB and BE, each with a mass of 4 kg, are welded together and are pin-connected to two links AC and BD. Knowing that the assembly is released from rest in the position shown and neglecting the masses of the links, determine (a) The acceleration of the assembly, (b) The forces in the links. Transcribed Image Text:
Answer Preview: Given: mAB Free Body Diagram: Kinetics: = mBE = 14 kg F 0 5 m …

, Chapter: 17 -Problem: 26 >> A 100-kg solid cylindrical disk, 800 mm in diameter, is to be raised over a 200-mm obstruction. A cable is wrapped around the disk and pulled with a constant horizontal force T = 260 N as shown. Knowing that the corner of the obstruction at A is rough, determine the angular velocity of the disk when it has reached the top of the obstruction.
Answer Preview: Strategy: work-energy Work-Energy, Geometery, At position 1, Wo…

, Chapter: 19 -Problem: 63 >> A horizontal platform P is held by several rigid bars that are connected to a vertical wire. The period of oscillation of the platform is found to be 2.2 s when the platform is empty and 3.8 s when an object A of unknown moment of inertia is placed on the platform with its mass center directly above the center of the plate. Knowing that the wire has a torsional constant K = 27 N·m/rad, determine t
Answer Preview: G T-YA gus Equation of motion. Case 1. The platform is empty. Ca…

, Chapter: 16 -Problem: 37 >> Gear A weighs 1 lb and has a radius of gyration of 1.3 in.; gear B weighs 6 lb and has a radius of gyration of 3 in.; gear C weighs 9 lb and has a radius of gyration of 4.3 in. Knowing a couple M of constant magnitude of 40 lb·in. is applied to gear A, determine (a) The angular acceleration of gear C, (b) The tangential force that gear B exerts on gear C.
Answer Preview: Masses and moments of inertia. MA MB = 1 lb 32 2 ft/s 6 lb mc = = …

, Chapter: 17 -Problem: 28 >> A small sphere of mass m and radius r is released from rest at A and rolls without sliding on the curved surface to point B where it leaves the surface with a horizontal velocity. Knowing that a = 1.5 m and b = 1.2 m, determine (a) The speed of the sphere as it strikes the ground at C, (b) The corresponding distance c. T
Answer Preview: Work: Kinetic energy: Rolling motion at position 2. = =rw Principle of work …

, Chapter: 19 -Problem: 64 >> A uniform disk of radius r = 120 mm is welded at its center to two elastic rods of equal length with fixed ends at A and B. Knowing that the disk rotates through an 8° angle when a 500-mN·m couple is applied to the disk and that it oscillates with a period of 1.3 s when the couple is removed, determine (a) The mass of the disk, (b) The period of vibration if one of the rods is removed.
Answer Preview: Torsional spring constant. Equation of motion. Natural frequency and period. Period. Mass moment …

, Chapter: 19 -Problem: 111 >> An 18-lb block A slides in a vertical frictionless slot and is connected to a moving support B by means of a spring AB of constant k = 8 lb/ft. Knowing that the acceleration of the support is a = am sin ?f t, where am = 5 ft/s2 and ?f = 6 rad/s, determine (a) The maximum displacement of block A, (b) The amplitude of the fluctuating force exerted by the spring on the block.
Answer Preview: (a) Support motion. 8m = 8 'm = = xm =am sin aft 1 am -am = From Equations (…

, Chapter: 16 -Problem: 17 >> Members ACE and DCB are each 600 mm long and are connected by a pin at C. The mass center of the 10-kg member AB is located at G. Determine (a) The acceleration of AB immediately after the system has been released from rest in the position shown, (b) The corresponding force exerted by roller A on member AB. Neglect the weight of members ACE and DCB.
Answer Preview: (0 6m)sin 30 Dx A A 30 O (0 6m) Cos 30 30 0 3 cos 30 0 3cos30 By B E Bx Analysis of linkage Since me…

, Chapter: 16 -Problem: 34 >> Each of the double pulleys shown has a mass moment of inertia of 15 lb·ft·s2 and is initially at rest. The outside radius is 18 in., and the inner radius is 9 in. Determine (a) The angular acceleration of each pulley, (b) The angular velocity of each pulley after point A on the cord has moved 10 ft. Transcribed Image Tex
Answer Preview: Case 1: 1604 Case 2: 16016 Pik ma= m(3x) (a) +)M (b) (a) (b) 0 = = Ioa: (160 lb) ft = …

, Chapter: 17 -Problem: 24 >> The 30-kg turbine disk has a centroidal radius of gyration of 175 mm and is rotating clockwise at a constant rate of 60 rpm when a small blade of weight 0.5 N at point A becomes loose and is thrown off. Neglecting friction, determine the change in the angular velocity of the turbine disk after it has rotated through (a) 90°, (b) 270°.
Answer Preview: Mass of blade. mA = 51 grams = 0 051 kg mAg (0 051) (9 81)=0 5 N = Weight of blade. - Moment of iner…

, Chapter: 16 -Problem: 53 >> A rectangular plate of mass 5 kg is suspended from four vertical wires, and a force P of magnitude 6 N is applied to corner C as shown. Immediately after P is applied, determine the acceleration of (a) The midpoint of edge BC, (b) Corner B. Transcribed Image Text: N D 300 mm Fig. P16.53 y A C 400
Answer Preview: A A G. 200mm + = B E C D ja |EF=ma: 6N = (5 kg) +)E…

, Chapter: 19 -Problem: 60 >> A uniform disk of radius r = 250 mm is attached at A to a 650-mm rod AB of negligible mass that can rotate freely in a vertical plane about B. If the rod is displaced 2° from the position shown and released, determine the magnitude of the maximum velocity of point A, assuming that the disk is (a) Free to rotate in a bearing at A, (b) Riveted to the rod at A.
Answer Preview: Kinematics: B mg T l = 1/2mr a = 0 a, =la = 10 B IX -mat (a) The disk is …

, Chapter: 19 -Problem: 79 >> A 15-lb uniform cylinder can roll without sliding on an incline and is attached to a spring AB as shown. If the center of the cylinder is moved 0.4 in. down the incline and released, determine (a) The period of vibration, (b) The maximum velocity of the center of the cylinder. Transcribed Image Text:
Answer Preview: (a) Position (1) Position (2 the mg 0 4 in. 'N O ma T = -10/1 + T=0 V…

, Chapter: 19 -Problem: 73 >> The inner rim of an 85-lb flywheel is placed on a knife edge, and the period of its small oscillations is found to be 1.26 s. Determine the centroidal moment of inertia of the flywheel. Transcribed Image Text: Fig. P19.73 14 in.
Answer Preview: Datum at 1: Position (1) Position (2) Conservation of energy. T=-=-1,V=0 m T0 V = mgh 0 m h=r(1- …

, Chapter: 19 -Problem: 119 >> A counter-rotating eccentric mass exciter consisting of two rotating 100-g masses describing circles of radius r at the same speed but in opposite senses is placed on a machine element to induce a steadystate vibration of the element. The total mass of the system is 300 kg, the constant of each spring is k = 600 kN/m, and the rotational speed of the exciter is 1200 rpm. Knowing that the amplitude
Answer Preview: With Solving for r, Pm = 2mrwf, X…

, Chapter: 19 -Problem: 50 >> A small collar of mass 1 kg is rigidly attached to a 3-kg uniform rod of length L = 750 mm. Determine (a) The distance d to maximize the frequency of oscillation when the rod is given a small initial displacement, (b) The corresponding period of oscillation. Transcribed Image Text: A CH d B Fig. P
Answer Preview: Equation of moti…

, Chapter: 19 -Problem: 31 >> If h = 700 mm and d = 500 mm and each spring has a constant k = 600 N/m, determine the mass m for which the period of small oscillations is (a) 0.50 s, (b) Infinite. Neglect the mass of the rod and assume that each spring can act in both tension and compression. Transcribed Image Text: m A www. ww
Answer Preview: h P 2F A A B 644= M A mang h Data: + M = (MA)eff: 2Fd-mgx=-(mx)h |d mgx=mxh 24[4x]d-m …

, Chapter: 17 -Problem: 42 >> Each of the two rods shown is of length L = 1 m and has a mass of 5 kg. Point D is connected to a spring of constant k = 20 N/m and is constrained to move along a vertical slot. Knowing that the system is released from rest when rod BD is horizontal and the spring connected to point D is initially unstretched, determine the velocity of point D when it is directly to the right of point A.
Answer Preview: Moments of inertia. T=1/2m, 1=1md Use the principle of conservation of energy applied to the system …

, Chapter: 17 -Problem: 37 >> A 5-m-long ladder has a mass of 15 kg and is placed against a house at an angle ? = 20°. Knowing that the ladder is released from rest, determine the angular velocity of the ladder and the velocity of end A when ? = 45°. Assume the ladder can slide freely on the horizontal ground and on the vertical wall. Transcribed Image
Answer Preview: SOLUTION Kinematics: Let V = V, VB = Vg, and w=w, w). Locate the instantaneous VB center C by dr…

, Chapter: 19 -Problem: 55 >> The 8-kg uniform bar AB is hinged at C and is attached at A to a spring of constant k = 500 N/m. If end A is given a small displacement and released, determine (a) The frequency of small oscillations, (b) The smallest value of the spring constant k for which oscillations will occur. Transcribed Image Text:
Answer Preview: T==-2 m -12 (8)(0 250…

, Chapter: 19 -Problem: 93 >> The motion of the uniform rod AB is guided by the cord BC and by the small roller at A. Determine the frequency of oscillation when the end B of the rod is given a small horizontal displacement and released. Transcribed Image Text: A Fig. P19.93 -L- ? B 1
Answer Preview: Position 1. (Maximum deflection): Let mbe the small angle betwe…

, Chapter: 19 -Problem: 86 >> A 10-lb uniform rod CD is welded at C to a shaft of negligible mass that is welded to the centers of two 20-lb uniform disks A and B. Knowing that the disks roll without sliding, determine the period of small oscillations of the system. Transcribed Image Text: A Fig. P19.86 1 ft C D B 3 ft -1 ft
Answer Preview: W=Wg=Wdisk mift hongin ZW % WED D Position (1) Position …

, Chapter: 16 -Problem: 41 >> Disk A has a mass of 6 kg and an initial angular velocity of 360 rpm clockwise; disk B has a mass of 3 kg and is initially at rest. The disks are brought together by applying a horizontal force of magnitude 20 N to the axle of disk A. Knowing that ?k = 0.15 between the disks and neglecting bearing friction, determine (a) The angular acceleration of each disk, (b) The final angular velocity of ea
Answer Preview: Assume that no slipping occurs. Then: Cylinder A abelt …

, Chapter: 17 -Problem: 40 >> The mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring with a constant of k = 40 lb/ft is attached to wheel B. Knowing that the door is released from rest in the position ? = 30° with the spring unstretched, determine the
Answer Preview: Kinematics. Locate the instantaneous center at point I. A 5 sine I NA 5 cose B B VA = …

, Chapter: 19 -Problem: 94 >> A uniform rod of length L is supported by a ball-and-socket joint at A and by a vertical wire CD. Derive an expression for the period of oscillation of the rod if end B is given a small horizontal displacement and then released. Transcribed Image Text: A Fig. P19.94 b -L- D C B h
Answer Preview: Position (1). (Maximum deflection) Looking from above: Horizont…

, Chapter: 17 -Problem: 17 >> The 15-kg rear hatch of a vehicle opens as shown and can be modeled as a uniform 0.6-m long slender rod. Knowing that the tailgate is released from rest in the position shown, determine the angular velocity of the tailgate as it impacts the car body. Transcribed Image Text: Fig. P17.17 A 55° $15? B
Answer Preview: Strategy: conservation of energy, Where, At position 1, At position 2, = 0 T = 55 Datum 15 P…

, Chapter: 16 -Problem: 1 >> A 60-lb uniform thin panel is placed in a truck with end A resting on a rough horizontal surface and end B supported by a smooth vertical surface. Knowing that the deceleration of the truck is 12 2ft/s, determine (a) The reactions at ends A and B, (b) The minimum required coefficient of static friction at end A. Transcri
Answer Preview: Given: Free Body Diagram: Kinetics: m || W 00 60 lb 32 2 ft/s 2 5 ft A 2 5 ft = B G 60 …

, Chapter: 17 -Problem: 27 >> Greek engineers had the unenviable task of moving large columns from the quarries to the city. One engineer, Chersiphron, tried several different techniques to do this. One method was to cut pivot holes into the ends of the stone and then use oxen to pull the column. The 4-ft diameter column weighs 12,000 lbs, and the team of oxen generates a constant pull force of 1500 lbs on the center of the cy
Answer Preview: Given: Diagram of two positions: pos. 1 m= 12000 lb 32 2 ft/s 1 =-=…

, Chapter: 17 -Problem: 9 >> The 10-in.-radius brake drum is attached to a larger flywheel which is not shown. The total mass moment of inertia of the flywheel and drum is 16 lb·ft·s2 and the coefficient of kinetic friction between the drum and the brake shoe is 0.40. Knowing that the initial angular velocity is 240 rpm clockwise, determine the force that must be exerted by the hydraulic cylinder if the system is to stop in 7
Answer Preview: Kinetic energies. W = 240 rpm = 8 rad/s = 16 lb-ft…

, Chapter: 17 -Problem: 22 >> A collar with a mass of 1 kg is rigidly attached to a slender rod AB of mass 3 kg and length L = 600 mm. The rod is released from rest in the position shown. Determine the distance d for which the angular velocity of the rod is maximum after it has rotated through 90°. Transcribed Image Text: -L- C
Answer Preview: Kinematics. Rod Collar Position 1. Position 2. L vx== w VR 2 Vc = …

, Chapter: 17 -Problem: 31 >> A sphere of mass m and radius r rolls without slipping inside a curved surface of radius R. Knowing that the sphere is released from rest in the position shown, derive an expression for (a) The linear velocity of the sphere as it passes through B, (b) The magnitude of the