Physics (10th Edition)

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

Chapter 9 - Rotational Dynamics - Problems - Page 249: 75

Answer

$M=1413N$

Work Step by Step

There are 3 forces that produce torques affecting the rotation of the arm: - $M$ produces a clockwise (negative) torque. The lever arm is $0.069m\times\sin29=0.033m$ - The arm's weight $W$ produces a clockwise (negative) torque. The lever arm is $0.28m$ - The tension in the rope $T$ produces a counterclockwise (positive) torque. The lever arm is $0.61m$ Because the arm is in equilibrium, $$\sum\tau=-0.033M-0.28W+0.61T=0$$ $$M=\frac{0.61T-0.28W}{0.033}$$ We have $W=47N$. $T$ has to balance out the stationary's weight, because the stationary is in equilibrium, too, so $T=98N$ $$M=1413N$$
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