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 8.49 m work plank which weighs 114 N and is secured with a hinge on the opposite end. Worker B will stand on the plank 4.55 m from worker A. Worker B also brings up his paint can, mc = 3.46 kg, which he places 0.265 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

Taking couple about the hinge point we get...
496 x 8.49 = 114 x 8.49 / 2 + 3.44 x 9.81 x 3.99 + Wb x 3.5
Wb = 1026.42 N

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