Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 9 - Rotational Dynamics - Check Your Understanding - Page 220: 1

Answer

Ranking from largest to smallest net torque: $0^o, 45^o, 90^o$

Work Step by Step

Take half the bar's length to be $L$. The net torque produced is $$\sum\tau=FL-FL\sin\phi=FL(1-\sin\phi)$$ For $\phi=90^o$, $\sin\phi=1$, so $\sum\tau=0$ For $\phi=45^o$, $\sin\phi=\frac{\sqrt2}{2}$, so $\sum\tau=\Big(1-\frac{\sqrt2}{2}\Big)FL$ For $\phi=0^o$, $\sin\phi=0$, so $\sum\tau=FL$ Ranking from largest to smallest net torque: $0^o, 45^o, 90^o$
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