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11a
Problem

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12 Nov 2021

Given information

Given:
Mass of adult .
Mass of child .
Length of board .
 

Step-by-step explanation

Step 1.
The pivot should be placed so that the net torque on the board is zero. We calculate torques about the pivot point, with counterclockwise torques positive. The upward force  at the pivot point is shown, but it exerts no torque about the pivot point. The mass of the child is  , the mass of the adult is  , the mass of the board is   , and the center of gravity is at the middle of the board.

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