Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 12 - Equilibrium and Elasticity - Problems - Page 347: 27b

Answer

The force on the forearm from the triceps muscle is directed upward.

Work Step by Step

Note that the tension $T$ in the rope is equal to the weight of the block. We can use the sum of the torques about the rotation axis to find the torque $\tau_t$ due to the force $F$ from the triceps muscle: $\sum \tau_i = 0$ $\tau_t - (15~cm)(2.0~kg)(9.8~m/s^2)~sin~120^{\circ}+(35~cm)(15~kg)(9.8~m/s^2)~sin~60^{\circ} = 0$ $\tau_t = (15~cm)(2.0~kg)(9.8~m/s^2)~sin~120^{\circ}-(35~cm)(15~kg)(9.8~m/s^2)~sin~60^{\circ}$ $\tau_t = -4201~N\cdot cm$ The negative torque due to the force from the triceps muscle shows that the torque is clockwise. By the right hand rule, the force on the forearm from the triceps muscle must be directed upward.
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