Engineering Mechanics: Statics & Dynamics (14th Edition)

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

Chapter 16 - Planar Kinematics of a Rigid Body - Section 16.6 - Instantaneous Center of Zero Velocity - Problems - Page 372: 98


$\omega_S=15 rad/s$ $\omega_R=3 rad/s$

Work Step by Step

We can determine the required angular velocity as follows: $r_{A}\omega_S=r_{O/H} \omega_H$ This can be rearranged as: $\omega_S=\frac{0.15}{0.05}(5)=15 rad/s$ We know that $r_R \omega_R=r_{O/H}\omega_H$ This can be rearranged as: $\omega_R=\frac{r_{O/H}}{r_R}\omega_H$ We plug in the known values to obtain: $\omega_R=\frac{0.15}{0.25}(5)$ $\implies \omega_R=3 rad/s$
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