PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Question
Chapter 21, Problem 28P
To determine
The angular velocity of the assembly just after the impact.
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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 mm
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
4. 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 m
Chapter 21 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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