Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.4, Problem 7RP
A thin disk of mass m has an angular velocity ω1 while rotaimg on a smooth surface Determine its new angular velocity just after the hook at its edge strikes the peg P and the disk starts to rotate about P without rebounding.
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The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of
mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the
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164 rev/min
145 mm
305 mm
The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |ΔE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation.
The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is 13 kg and its centroidal radius of gyration is 85 mm. Calculate the angular acceleration of gear B when a torque of 16 N·m is applied to the shaft of gear A. Neglect friction. The angular acceleration is positive if counterclockwise, negative if clockwise..
Chapter 19 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - If it is subjected to a couple moment of M = (3t2)...Ch. 19.2 - The 300-kg wheel has a rad1us of gyration about...Ch. 19.2 - If rod OA of negligible mass is subjected lo the...Ch. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - The reel has a weight of 150 lb and a radius of...Ch. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - At a given Instant, the body has a linear momentum...
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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