HW 9 9.1: Torque 10 00:00:50 9: A woman holds a bowling ball, as shown in the di

Question

HW 9 9.1: Torque 10 00:00:50 9: A woman holds a bowling ball, as shown in the diagram. The bicep muscle exerts a force with magnitude F on the lower arm. This force is directed vertically upward and acts at a horizontal distance d1 4.78 cm from the elbow joint. The lower arm has a mass of 1.82 kg and its center of mass is located a horizontal distance d2 14 cm from the elbow joint. The bowling ball has a mass of M = 4.66 kg and its center is located a distance d3 = 29.3 cm from the elbow joint. Bicep muscle Elbow joint d. Lower arm center of mass d2 d3 What is the magnitude of the force F? 299.7 EA @ Hint Mark for Review Confidence g al Submit Answer

Explanation / Answer

M = 4.66 kg ; m = 1.82 kg

a)The sum of moments about elbow :

M g x 29.3 x 10^-2 + m g x 14 x 10^-2 - F x 4.78 x 10^-2 = 0

9.8 ( 4.66 x 29.4 + 1.82 x 14) = 4.78 F => F = 1592.3432/4.78 = 333.13 N

Hence, F = 333.13 N

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