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 1.10 Times10^2 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, m_c = 3.48 kg, which he places 0.250 m from where he is standing on the plank (between the two workers). Worker A unfortunately needs to supply 496 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. W_B =

Explanation / Answer

Sum the moments about the hinge:

M = 0 = 496N*8.98m - 110N*8.98m/2 - B*(8.98-4.22)m

- 3.48kg*9.81m/s²*(8.98-4.22+.25)m

B * 4.76m = 3788.41 N·m

B = 795.88 N

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