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 115 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 = 3.40 kg, which he places 0.325 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. WB=

Explanation / Answer

the addition of total moments of the hinge is as follows

the total moments is zero then can be written as M = 0

= 483 X 8.49 - ( 115 X 8.49 ) / 2 - B X ( 8.49 - 4.99 ) - 3.40 X 9.81 ( 8.49 - 4.99 + 0. 325 )

M = 0

483 X 8.49 - ( 115 X 8.49 ) / 2 - B X ( 8.49 - 4.99 ) - 3.40 X 9.81 ( 8.49 - 4.99 + 0. 325 ) = 0

4100.67 - 488.175 - B X 3.5 - 3.4 X 9.81 X 3.825 = 0

4100.67 - 488.175 - B X 3.5 - 127.57 = 0

B X 3.5 = 3484.925

B = 3484.925 / 3.5

B = 995.69 N

this is the work B wieghs .

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