Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.4, Problem 52P
To determine
The minimum value of the angular velocity
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The 31-kg reel is mounted on the 16-kg cart.
Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels.
Part B: Determine the angular velocity of the reel when t = 4.2 s.
The 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.
The 100-kgkg spool is resting on the inclined surface for which the coefficient of kinetic friction is μkμkmu = 0.1. The radius of gyration about the mass center is kGkGk_G = 0.26 mm.
Determine the angular velocity of the spool, measured clockwise, when ttt = 6 ss after it is released from rest.
Chapter 19 Solutions
Engineering Mechanics: Statics & 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 - The 60-kg wheel has a radius of gyration about its...Ch. 19.2 - Prob. 2FPCh. 19.2 - Prob. 3FPCh. 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 - Prob. 6FPCh. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - Prob. 2P
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 - Prob. 5PCh. 19.2 - Prob. 6PCh. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - Prob. 8PCh. 19.2 - Prob. 9PCh. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - The pulley has a weight of 10 lb and may be...Ch. 19.2 - Prob. 12PCh. 19.2 - Prob. 13PCh. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - Prob. 15PCh. 19.2 - Prob. 16PCh. 19.2 - Prob. 17PCh. 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 - Prob. 21PCh. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - Prob. 23PCh. 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 - Prob. 26PCh. 19.2 - Prob. 27PCh. 19.2 - Prob. 28PCh. 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 - Prob. 31PCh. 19.4 - Prob. 32PCh. 19.4 - Prob. 33PCh. 19.4 - Prob. 34PCh. 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 - Prob. 41PCh. 19.4 - Prob. 42PCh. 19.4 - Prob. 43PCh. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Prob. 46PCh. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - Prob. 48PCh. 19.4 - The 20-kg disk strikes the step Without...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - Prob. 52PCh. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - Prob. 54PCh. 19.4 - Prob. 55PCh. 19.4 - Prob. 56PCh. 19.4 - Prob. 57PCh. 19.4 - Prob. 58PCh. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - Prob. 2RPCh. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - Prob. 4RPCh. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Prob. 6RPCh. 19.4 - Prob. 7RPCh. 19.4 - Prob. 8RP
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- Each of the two links has a mass of 2 kg and a centroidal radius of gyration of 60mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The springhas a stiffness of 6 kN/m. If a constant torque M = 20 N∙m is applied to link OA throughits shaft at O starting from the rest position at θ = 45°, determine the angular velocity ofOA when θ = 0.arrow_forwardThe body and bucket of a skid steer loader has a weight of 2000 lb, and its center of gravity is located at G. Each of the four wheels has a weight of 100 lb and a radius of gyration about its center of gravity of 1ft. If the engine supplies a torque of M = 100 lb ft to each of the rear drive wheels, determine the speed of the loader in t = 10 s starting from rest. The wheels roll without slippingarrow_forwardThe 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.11. The radius of gyration about the mass center is kG = 0.26 m Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest.arrow_forward
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