a young work crew is trying to quickly finish some touch up painting to compelet

Question

a young work crew is trying to quickly finish some touch up painting to compelete job rather than setting up a secure work area they decide to try a shortcut wo crew is trying to quickly finish some touch-up to complete a job. Rather than setting up a ecure work area, they decide to try a shortcut. Worker A wil hold the far end of a 947 m work plank which veighs 112 N and is secured with á hinge on the opposite end. Worker B will stand on the plank 4.00 m from orker A. Worker B also brings up his paint can, me = 3.54 kg, which he places 0.265 m from where he is tanding on the plank (between the two workers). Worker A unfortunately needs to supply 4.70 x 10? N of force o hold the end of the plank. How much does worker B weigh? The acceleration due to gravity is g= 9.81 m/s Incorrect The torque produced by the weight of the plank is located at the Number W-585 lank's center of gravity (a point where the plank would alance) not along the entire length.

Explanation / Answer

Let worker B weight is W.
Then for equilibrium moment of all the forces about hinge = 0
=>(W*(9.47-4))+(3.54*(9.47-4+0.265))-(4.7*100*9.47)-(112*(9.47/2)) = 0
=>W = 906.932 N
=>Worker B weighs 906.932 N

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