Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.4, Problem 51P
The solid ball of mass m is dropped with a velocity v1 onto the edge of the rough step. If it rebounds horizontally off the step with a velocity v2, determine the angle θ at which contact occurs. Assume no slipping when the ball strikes the step. The coefficient of restitution 15 e.
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The
2.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction
is 0.62. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring.
2.8 kg
0.68 m
H=0.62
59
Answers:
(a) v =
(b) x =
i
i
k = 3.4 kN/m
m/s
mm
A steel ball with mass m strikes an initially stationary plate of mass 2m with an initial velocity v1 = 24 m/s at an angle θ1 = 60o. If the plate is constrained to move vertically, and the coefficient of restitution for the impact is e = 0.8, compute the magnitude of velocity v2 and the direction θ2 with which the ball rebounds off the plate immediately after the impact.
The small collar of mass m = 0.64 kg is released from rest at A and slides down the curved rod in the vertical plane with negligible
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rest at A, calculate the work Q of friction. What happens to the energy which is lost?
Answer: Q = i
Chapter 19 Solutions
Engineering Mechanics: Dynamics (14th Edition)
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Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - The Impact wrench cons1sts of a slender 1-kg rod...Ch. 19.2 - The airplane is traveling in a straight line with...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The assembly weighs 10 lb and has a radius of...Ch. 19.2 - The disk has a weight of 10 lb and is pinned at...Ch. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - Determine the angular velocity of the pulley when...Ch. 19.2 - The 40-kg roll of paper rests along the wall where...Ch. 19.2 - The slender rod has a mass m and is suspended at...Ch. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - A 4-kg disk A is mounted on arm BC. which has a...Ch. 19.2 - The frame of a tandem drum roller has a weight of...Ch. 19.2 - The 100-lb wheel has a radius of gyration of kG =...Ch. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - The spool has a weight of 30 lb and a radius of...Ch. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - The hoop (thin ring) has a mass of 5 kg and is...Ch. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - If the shaft is subjected to a torque of M = (...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The crate has a mass mc. Determine the constant...Ch. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The circular disk has a mass m and is suspended at...Ch. 19.4 - The 80-kg man is holding two dumbbells while...Ch. 19.4 - The platform swing consists of a 200-lb flat plate...Ch. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Tests of impact on the fixed crash dummy are...Ch. 19.4 - The vertical shaft is rotating with an angular...Ch. 19.4 - The mass center of the 3-lb ball h3s a velocity of...Ch. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Determine the height hat which a billiard ball of...Ch. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - The 4-lb rod AB is hanging in the vertical...Ch. 19.4 - Determine the largest angular velocity 1 the disk...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The rod of mass m and length L is released from...Ch. 19.4 - Prob. 55PCh. 19.4 - A ball having a mass of 8 kg and initial speed of...Ch. 19.4 - A solid ball with a mass m is thrown on the ground...Ch. 19.4 - The pendulum consists of a 10-lb solid ball and...Ch. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - The space capsule has a mass of 1200 kg and a...Ch. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - The wheel having a mass of 100 kg and a radius of...Ch. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Spool B is at rest and spool A is rotating at 6...Ch. 19.4 - A thin disk of mass m has an angular velocity 1...Ch. 19.4 - Prob. 8RP
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- A sphere of weight 10 N moving at 3 m/sec collides with another sphere of weight 50 N moving in the same line at 0.6 m/sec. Find the loss of kinetic energy during impact and show that the direction of motion of the first sphere is reversed after the impact. Assume coefficient of restitution as 0.75.arrow_forwardThe 3.0-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.38. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. 3.0 kg H=0.38 Answers: (a) V = A (b) x = 56° HI 0.45 m k = 3.7 kN/m m/s mmarrow_forwardThe small collar of mass m = 0.46 kg is released from rest at A and slides down the curved rod in the vertical plane with negligible friction. If b = 0.47 m, and h = 1.22 m, and if the velocity of the collar as it strikes the base Bis 4.61 m/s after release of the collar from rest at A, calculate the work Q of friction. What happens to the energy which is lost? A B Answer: Q = iarrow_forward
- To pass inspection, steel balls designed for use in ball bearings must clear the fixed bar A at the top of their rebound when dropped from rest through the vertical distance H = 36 in. onto the heavy inclined steel plate. If balls which have a coefficient of restitution of less than 0.7 with the rebound plate are to be rejected, determine the position of the bar by specifying h and s. Neglect any friction during impact.arrow_forwardThe 2.5-kg collar is released from rest at A and slides down the inclined foxed rod in the vertical plane. The coefficient of kinetic friction is 0.61. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection of the spring 2.5 kg -0.61 Answers: 65 9- 65 0.62 m k-1.4 kN/m m/arrow_forwardThe angular momentum at "A" is conserved. The 4 Ib rod "AB" is hanging in the vertical position. A 2 lb block, sliding on a smooth horizontal surface with a velocity of 12 ft/s strikes the rod at its end B. The coefficient of restitution between the block and the rod at B is e=0.7. Determine the velocity of the block immediately after the collision. 3 ft 12 ft/sarrow_forward
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- 4. The 12-kg package A has a speed of 2.5 m/s when it enters the smooth ramp. As it slides down the ramp, it strikes the 34-kg package B which is initially at rest. If the coefficient of restitution between A and Bis = 0.65, determine the velocity of B just after the impact.arrow_forwardThe small collar of mass m = 0.66 kg is released from rest at A and slides down the curved rod in the vertical plane with negligible friction. If b = 0.6ó m, and h = 1.32 m, and if the velocity of the collar as it strikes the base B is 4.14 m/s after release of the collar from rest at A, calculate the work Q of friction. What happens to the energy which is lost? A B Answer: Q = i Jarrow_forwardThe 7-kg sphere is projected horizontally with a velocity of 18 m/s against the 38-kg carriage which is backed up by the spring with stiffness of 1650 N/m. The carriage is initially at rest with the spring uncompressed. If the coefficient of restitution is 0.64, calculate the rebound velocity v', the rebound angle 0, and the maximum travel S of the carriage after impact.arrow_forward
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