PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Question
Chapter 18, Problem 27P
To determine
The angular velocity of the 15 kg inner gear when the link has made two revolutions starting from rest.
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Chapter 18 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 18 - The 80-kg wheel has a radius of gyration about its...Ch. 18 - The uniform 50-lb slender rod is subjected to a...Ch. 18 - The uniform 50-kg slender rod is at rest m the...Ch. 18 - The 50-kg wheel is subjected to a force of 50 N....Ch. 18 - If the uniform 30-kg slender rod starts from rest...Ch. 18 - The 20-kg wheel has a radius of gyration about its...Ch. 18 - At a given instant the body of mass m has an...Ch. 18 - A force of P = 20 N is applied to the cable, which...Ch. 18 - A force of P = 20 N is applied to the cable, which...Ch. 18 - The double pulley consists of two parts that are...
Ch. 18 - The double pulley cons1sts of two parts that are...Ch. 18 - Prob. 9PCh. 18 - The 10-kg uniform slender rod is suspended at rest...Ch. 18 - Prob. 14PCh. 18 - The pendulum consists of a 10-kg uniform disk and...Ch. 18 - The center O of the thin ring of mass m is given...Ch. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 27PCh. 18 - The 10-kg rod AB is pin connected at A and...Ch. 18 - Motor M exerts a constant force of P = 750 Non the...Ch. 18 - The two 2-kg gears A and B are attached to the...Ch. 18 - F187. If the 30-kg disk is released from rest when...Ch. 18 - The 50-kg reel has a radius of gyration about its...Ch. 18 - The 60-kg rod OA is released from rest when = 0....Ch. 18 - Prob. 10FPCh. 18 - The 30-kg rod is released from rest when = 45....Ch. 18 - Prob. 12FPCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - The 40-kg wheel has a radius of gyration about its...Ch. 18 - The assembly consists of two 10-kg bars which are...Ch. 18 - The assembly consists of two 10-kg bars which are...Ch. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - If the 250-lb block is released from rest when the...Ch. 18 - The slender 15-kg bar is initially at rest and...Ch. 18 - The 50-lb wheel has a radius of gyration about its...Ch. 18 - The system consists of 60-lb and 20-lb blocks A...Ch. 18 - The pendulum of the Charpy impact machine has a...Ch. 18 - Prob. 2RPCh. 18 - The drum has a mass of 50 kg and a radius of...Ch. 18 - The spool has a mass of 60 Kg and a radius of...Ch. 18 - Prob. 5RPCh. 18 - At the Instant shown, the 50-lb bar rotates...Ch. 18 - Prob. 7RPCh. 18 - Prob. 8RP
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- The cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown. The mass of the cylinder is 2.5 kg and its radius is 205 mm. If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.arrow_forwardThe 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.arrow_forwardThe 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.arrow_forward
- Each of the two links has a mass of 1.5 kg and a centroidal radius of gyration of 55 mm. The slider at B has a mass of 3.4 kg and moves freely in the vertical guide. The spring has a stiffness of 5.9 kN/m. If a constant torque M = 14.0 N-m is applied to link OA through its shaft at O starting from the rest position at = 45°, determine the angular velocity of OA when 0 = 0. 40 mm 330 mm O Answer: w= i 165 mm 165 mm rad/sarrow_forward3. The 300-kg gear has a radius of gyration about its center of mass O of ko = 400 mm. If the wheel is subjected to a couple moment of M= 300 N-m, determine its angular velocity 6 s after it starts from rest and no slipping occurs. Also determine the friction force that the ground applies to the wheel. Solve the problem using Impulse and Momentum. M 300 Nm 0.6 marrow_forwardThe vertical bar AB has a mass of 150 kg with center of mass G midway between the ends. The bar is elevated from rest at θ = 0 by means of the parallel links of negligible mass, with a constant couple M = 5 kN∙m applied to the lower link at C. Determine the angular acceleration α of the links as a function of θ and find the force B in the link DB at the instant when θ = 30°.arrow_forward
- The 12-kg slender rod is pinned to a small roller that slides freely in the slot. If the rod is released from rest with θ = 0o , determine the angular acceleration of the rod and the linear acceleration of the center of mass immediately after release.arrow_forwardThe small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the slots, which lie in the verticalplane. At the instant when θ = 30°, the velocity of roller A is 14 ft/s down the vertical slot. Determine the angular acceleration of the bar, the acceleration of mass center G, and the reactions of points A and B, under the action of the 6-lb force P. Neglect the friction and the mass of the small rollers.arrow_forwardThe 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forward
- A homogeneous 150-kg vertical bar AB is raised from rest at θ = 0° by means of the parallel swinging bars of negligible weight, with a constant moment M = 5 kN-m applied to the lower link at C. Determine the angular velocity and the angular acceleration of the links and the forces at A and B at the instantθ = X°. Take the angle θ = 37°.arrow_forwardThe 10-kg rod AB shown is confined so that its ends move in the horizontal andvertical slots. The spring has a stiffness of k = 800N/m and is unstretched when θ = 0˚.Determine the angular velocity of AB when θ = 0˚, if the rod is released from rest when θ = 30˚.Neglect the mass of the slider blocks. It’s frictionless.arrow_forwardAt the instant shown, the spring is undeformed. Determine the change in potential energy if the 20 kg disk (radius of gyration = 0.5 m) rolls 2 revolutions without slipping. Note that the shown velocity vector refers to the translation of the centre of the wheel. Choices are in image.arrow_forward
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