Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 11 - Virtual Work - Section 11.3 - Principle of Virtual Work for a System of Connected Rigid Bodies - Problems - Page 594: 10



Work Step by Step

We can determine the magnitude of the required force $P$ as follows: The virtual displacements are given as $\delta_y=\frac{d(0.5lsin\theta)}{d\theta}=0.5lsin\theta$ and $\delta_{xC}=\frac{d(lsin\theta)}{d\theta}=-lsin\theta$ Now, according to the virtual-work equation $\delta U=0$ $\implies W\cdot\delta_y+P\cdot \delta x=0$ $\implies W(0.5)lcos\theta+P(-lsin\theta)=0$ This simplifies to: $P=\frac{W}{2}cot\theta$
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