Chapter 9, Problem 4 Two children hang by their hands from the same tree branch.

Question

Chapter 9, Problem 4
Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree at an angle of 31° above the horizontal. One child, with a mass of 54 kg, is 1.6 m along the branch from the tree trunk. The other child, with a mass of 33 kg, is 3.0 m along the branch from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

Explanation / Answer

= ( 54 * 9.8 * 1.6 + 33 * 9.8 * 3 ) cos 31

= 1557.4 N. m <-------ans

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