Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 4 - Dynamics: Newton's Laws of Motion - General Problems - Page 108: 93

Answer

(a) For an object to stay at rest, the coefficient of static friction $\mu_s$ must be at least $\frac{a}{g}$. (b) The chair would have started to slide on the floor.

Work Step by Step

(a) $F_f = ma$ $mg ~\mu_s = ma$ $\mu_s = \frac{a}{g}$ For an object to stay at rest, the coefficient of static friction $\mu_s$ must be at least $\frac{a}{g}$. (b) $\frac{a}{g} = \frac{4.0 ~m/s^2}{9.80 ~m/s^2} = 0.41$ Since $0.25 < 0.41$, the coefficient of static friction $\mu_s < \frac{a}{g}$. Therefore, the chair would have started to slide on the floor.
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