Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.4, Problem 42P
The vertical shaft is rotating with an angular velocity of 3 rad/s when θ = 0º·. If a force F is applied to the collar so that θ = 90º, determine the angular velocity of the shaft. Also find the work done by force F. Neglect the mass of rods GH and EF and the collars I and J. The rods AB and CD each have a mass of 10 kg.
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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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- The uniform 50-kg sphere has radius r = 0.2 m and is welded to the center of the uniform 30-kg shaft as shown. When a constant couple moment M is applied to the shaft, its angular velocity reaches 74 rad/s after 4 s. Determine the magnitude of the moment M. Write your answer in N.m but do not write the units. M R= 0.1 m Taylor e m Te am Answer: Answerarrow_forwardA uniform plate has a weight of 50 lb. Link AB is subjected to a couple moment of M = 10 lb # ft and has a clockwise angular velocity of 2 rad>s at the instant u = 30°. Determine the force developed in link CD and the tangential component of the acceleration of the plate’s mass center at this instant. Neglect the mass of links AB and CD. PLEASE EXPLAIN THE N-T COORDINATE SYSTEM (HOW DO YOU KNOW WHICH WAY IS THE N-DIRECTION AND T-DIRECTION)arrow_forwardThe telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VÀ = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. Answers: Vo = W = 1.91 m 4 0.69 m 1.315 i 1.376 Ho m/s VA rad/sarrow_forward
- If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occursarrow_forwardSOLVE USING PRINCIPLE OF WORK AND ENERGYarrow_forwardThe telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. 1.72 m A Answers: Vo = W= 0.60 m 1.075 i 1.25 m/s rad/sarrow_forward
- Z 0.4 m The crank OA rotates in the vertical plane with a constant clockwise angular velocity mo of 4.5 rad/s. For the position where OA is horizontal, find the angular acceleration (magnitude and direction) of link AB and the force acting on the light roller Bof the slender bar AB. The mass of the uniform bar AB is 10 kg. Neglect all frictional forces. 0.8 m 1.0 m Vg = 5 m/sarrow_forwardThe double pulley consists of two parts that are attached to one another. It has a weight of 52 lb and a radius W= 20 rad/s of gyration about its center of k = 0,9 ft. If it rotates with O an angular velocity of 20 rad>s clockwise, determine the kinetic energy of the system. Assume that neither cable slips on the pulley. @= 20 rad/s 0.5ft 1 ft B 30 lb A 20 lbarrow_forwardPravinbhaiarrow_forward
- 3arrow_forwardEach 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_forward2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.arrow_forward
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