College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 9 - Problems - Page 360: 11

Answer

(a) The normal force applied to each side of the rotor is $30~N$ (b) $\tau = 5.76~N\cdot m$

Work Step by Step

(a) We can use Pascal's principle to find the normal force $F_2$ applied to each side of the rotor: $\frac{F_2}{A_2} = \frac{F_1}{A_1}$ $F_2 = \frac{A_2~F_1}{A_1}$ $F_2 = \frac{(12.0~cm^2)~(7.5~N)}{3.0~cm^2}$ $F_2 = 30~N$ The normal force applied to each side of the rotor is $30~N$ (b) We can find the total torque on the rotor due to the two pads: $\tau = 2\times~(r~F_2~\mu_k)$ $\tau = (2)(0.12~m)(30~N)(0.80)$ $\tau = 5.76~N\cdot m$
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