Three children are trying to balance on a seesaw, whichconsists of a fulcrum roc
ID: 1725633 • Letter: T
Question
Three children are trying to balance on a seesaw, whichconsists of a fulcrum rock, acting as a pivot at the center, and avery light board 4.3 m long . Two playmates are already oneither end. Boy A has a mass of 50 kg, and girl B a mass of 35kg. Where should girl C, whose mass is 25 kg,place herself so as to balance the seesaw? Three children are trying to balance on a seesaw, whichconsists of a fulcrum rock, acting as a pivot at the center, and avery light board 4.3 m long . Two playmates are already oneither end. Boy A has a mass of 50 kg, and girl B a mass of 35kg. Where should girl C, whose mass is 25 kg,place herself so as to balance the seesaw? Where should girl C, whose mass is 25 kg,place herself so as to balance the seesaw?Explanation / Answer
Length of the board, L = 4.3 m Mass of boy A, M1 = 50 kg Mass of girl B, M2 = 35 kg Mass of girl C, M3 = 25 kg Distance of girl A from the center, d1 = L /2 = 4.3 / 2 = 2.15 m ( left ) Distance of girl B from the center, d2 = L/ 2 = 4.3 / 2 = 2.15 m ( right ) Distance of girl C from the center, d3 = x ( right ) Moment of force = Force * perpendicular distance Total Clockwise moments about the center = TotalCounterclockwise moments about the center ( M2 g ) d2 + ( M3 g ) d3 = ( M1 g ) d1 M2 d2 + M3 d3 = M1 d1 35 * 2.15 + 25 * x = 50 * 2.15 Distance of Girl C from the center, x = ( 107.5- 75.25 ) / 25 = 1.29 m ( right )
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