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 16.5 - Relative-Motion Analysis: Velocity - Problems - Page 356: 64


$\vec{v_C}=-2.4 (ft/s)\hat i$

Work Step by Step

We can determine the required velocity as follows: $\vec{v_C}=\vec{v_B}+\vec{\omega}\times \vec{r_{C/B}}~$[eq(1)] As we know that the gear rack $B$ is fixed, therefore $\vec{v_B}=0$ Similarly, $\vec{r_{C/B}}=0.6$ We plug in the known values in eq(1) to obtain: $\vec{v_C}=0+(4\hat k)(0.6\hat j)$ $\implies \vec{v_C}=-2.4 (ft/s)\hat i$
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