A young work crew is trying to quickly finish some touch-up painting to complete

Question

A young work crew is trying to quickly finish some touch-up painting to complete a job. Rather than setting up a secure work area, they decide to try a shortcut. Worker A will hold the far end of a 8.98 m work plank which weighs 111 N and is secured with a hinge on the opposite end. Worker B will stand on the plank 4.55 m from worker A. Worker B also brings up his paint can, mc = 3.56 kg, which he places 0.325 m from where he is standing on the plank (between the two workers). Worker A unfortunately needs to supply 4.70

Explanation / Answer

balancing torque about hinge and

assuming mass of plank at halfway of length

4.70*102*8.98 = (111*4.49) + (Wb*(8.98-4.55)) + 3.56 *9.8 *(4.43+0.325)

4305.01 = 498.39 + 4.33*Wb + 165.89

Wb = 840N

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