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 114 N and is secured with a hinge on the opposite end. Worker B will stand on the plank 4.99 m from worker A. Worker B also brings up his paint can, mc = 3.44 kg, which he places 0.280 m from where he is standing on the plank (between the two workers). Worker A unfortunately needs to supply 483 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/s^2.

Explanation / Answer

distance between B and far end=8.98-4.99=3.99m

distance between paint can and far end=0.28+3.99=4.27m

For the equillibrium

take net moment around the other far end,(clockwisely)

483*8.98=3.44*g*4.27+ 114*4.49 + W*3.99; weight of B(W)

W=922.652 N

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