Two children hang by their hands from the same tree branch. the branch is straight, and grows out from the tree trunk at an angle of 27.5° above the horizontal. one child, with a mass of 45.6 kg, is hanging 1.28 m along the branch from the tree trunk. the other child, with a mass of 36.0 kg, is hanging 2.25 m from the tree trunk. what is the magnitude of the net torque exerted on the branch by the children

Question

Elsa

Physics

23 April, 08:59

Two children hang by their hands from the same tree branch. the branch is straight, and grows out from the tree trunk at an angle of 27.5° above the horizontal. one child, with a mass of 45.6 kg, is hanging 1.28 m along the branch from the tree trunk. the other child, with a mass of 36.0 kg, is hanging 2.25 m from the tree trunk. what is the magnitude of the net torque exerted on the branch by the children

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Alyson · Answer 1

The net torque exerted by the children on the branch of the tree is 1382 N-m.

The torque exert by the kids is calculated as

T = 45.6*9.8*1.28*cos27.5°+36*9.8 * (2.25-1.28) cos27.5°

T=1382 N-m

Hence, The net torque exerted by the children on the branch of the tree is 1382 N-m.