Physics (10th Edition)

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

Chapter 9 - Rotational Dynamics - Problems - Page 243: 5

Answer

a) $\tau=1.35\times10^4N.m$ b) $\tau=1.32\times10^5N.m$

Work Step by Step

a) As shown in the figure below, the lever arm between the force $W$ and the axis of rotation is $l_W=(2.5m)\sin32=1.32m$ As $W=10200N$, the torque produced by the engine's weight is $$\tau_W=Wl_W=1.35\times10^4N.m$$ b) As we can see in the figure below, the lever arm between the force $T$ and the axis of rotation is $l_T=(2.5m)\cos32=2.12m$ As $T=62300N$, the torque produced by the thrust is $$\tau_T=Tl_T=1.32\times10^5N.m$$
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