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 8.00 m work plank which weighs 1.10 × 102 N and is secured with a hinge on the opposite end. Worker B will stand on the plank 4.22 m from worker A. Worker B also brings up his paint can, mc = 3.58 kg, which he places 0.370 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

For equilibrium totalmomentum has to be zero.

M = 0

0 = 509*8 - 111*8/2 - B*(8-4.22) - 3.58*9.81*(8-4.22+0.37)

B * 3.78 = 3482.25

B = 921.23 N

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