1.

Two people sit on a park bench 6.0 ft long, weighing 160 lb. A boy weighing 75lb sits directly over the legs on the left side. A man weighing 170 lb sits 2.0 ft to the right of the boy. How much weight is supported by each leg on the right side?

Answer»

gram.Weight supported by each of 2 left side legs = F1Weight supported by each of 2 right side legs = F2Balance forces in vertical direction:    2 F1 + 2 F2 = 75 + 170 + 160 lb = 405 lb           =>      F1 + F2 = 202.5 lbbalance MOMENTS about point A:      2 * 170 + 3 * 160 - 6 * 2 F2 = 0   =>  F2 = 205/3  lb              =>  F1 = 202.5 lb - 205/3  lb



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