PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 5, Problem 10FP
Determine the support reactions at the smooth journal bearings A, B, and C of the pipe assembly.
Prob. F5-10
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
4
is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M
=
mgr
= -) derive an equation that can be used to
4
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
Please show all work step by step
Chapter 5 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - The truss is supported by a pin at A and a roller...Ch. 5 - Prob. 4FPCh. 5 - The 25 kg bar has a center of mass at G. If it is...Ch. 5 - Prob. 6FPCh. 5 - Determine the reactions at the supports. Prob....Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the reactions at the supports. Prob....Ch. 5 - A uniform glass rod having a length L is placed in...
Ch. 5 - If the intensity of the distributed load acting on...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 27PCh. 5 - Prob. 30PCh. 5 - Prob. 35PCh. 5 - The cantilevered jib crane is used to support the...Ch. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Determine the stiffness k of each spring so that...Ch. 5 - The boom supports the two vertical loads. Neglect...Ch. 5 - Prob. 43PCh. 5 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 53PCh. 5 - The uniform rod has a length I and weight W. It is...Ch. 5 - Prob. 7FPCh. 5 - Prob. 8FPCh. 5 - Prob. 9FPCh. 5 - Determine the support reactions at the smooth...Ch. 5 - Prob. 11FPCh. 5 - Determine the components of reaction that the...Ch. 5 - The uniform loads has a mass of 600 kg and is...Ch. 5 - The 100-lb door has its center of gravity at G....Ch. 5 - Determine me tension in each cable and the...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 80PCh. 5 - Prob. 82PCh. 5 - The bar AB is supported by two smooth collars. At...Ch. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Both pulleys are fixed to the shaft and as the...Ch. 5 - Member AB is supported by a cable BC and at A by a...Ch. 5 - Prob. 2RPCh. 5 - Prob. 4RP
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