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 9.96 m work plank which weighs 111 N and is secured with a hinge on the opposite end. Worker B will stand on the plank 4.77 m from worker A. Worker B also brings up his paint can, mc = 3.46 kg, which he places 0.400 m from where he is standing on the plank (between the two workers). Worker A unfortunately needs to supply 509 N of force to hold the end of the plank. How much does worker B weigh? The acceleration due to gravity is g = 9.81 m/s2.

Explanation / Answer

Torque balance : Torque due to (plank weight + worker B + pain can) =Torque due to (Worker A) 111*(9.96/2) + W*5.19 + 3.46*9.81*5.59 = 509*9.96 solving we get W =833.742 N...Ans

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