EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
14th Edition
ISBN: 9780133976588
Author: HIBBELER
Publisher: PEARSON CO
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Chapter 21.3, Problem 28P
To determine
The angular velocity of the assembly just after the impact.
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In the figure, rod AB has a mass of 10 kg, and must slide within the slots as shown. If the spring is unstretched when θ = 0°, determine the angular velocity of the bar when it reaches that angle after being released from θ = 30°.
The 50-kg wheel has a radius of gyration about its center of gravity G of kG = 300mm. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90° from the position shown. The spring AB has a stiffness k = 200 N/m and an unstretched length of 400 mm. The wheel is released from rest.
3. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the 20-kg
gear rack B is subjected to a force of P = 200 N, determine the time required for the gear to obtain
an angular velocity of 20 rad/s, starting from rest. The contact between the gear rack and the
horizontal plane is smooth.
0.15 m
ru
P = 200 N
Chapter 21 Solutions
EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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- 1. If the cord is subjected to a horizontal force of P = 150N, and gear is supported by a fixed pin at O, determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50-kg and it has a radius of gyration of ko = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth. 75 mm P = 150 N 150 mmarrow_forward4. The 10-kg rod AB is pin-connected at A and subjected to a couple moment of M = 15 Nm. If the rod is released from rest when the spring is unstretched at 8 = 30°, determine the angular velocity of the rod at the instant 0 = 60°. Thanks to the roller support at C, the spring always remains horizontal when the rod rotates. A O k= 40 N/m M=15 N·m 0.75 marrow_forwardEach 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_forward
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