(1196) Problem 8: A person carries a plank of wood 2.0 m long with one hand push
ID: 1782407 • Letter: #
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(1196) Problem 8: A person carries a plank of wood 2.0 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at 50 cm from the end of the plank with force F2 5096 Part (a) If the plank has a mass of 22.5 kg and its center of gravity is at the middle of the plank, what is the force F2-in newtons? Grade Summary Potential Submissions Attempts remaining 12 0% 100% cotan asinacos0 atan acotansinh0 cosh0 tanh0cotanh0 6per attempt) etailed view END Degrees Radians Submit remaining: 2 Hint I give up! Hints: 5% deduction per hint. Hints Feedback: 2% deduction per feedback. 50% Part(b) If the plank has a mass of 22.5 kg and its center of gravity is at the middle of the plank. what is the force F1 in newtons?Explanation / Answer
a)
As the plank is in equilibrium, net force and net torque acting on the plank must be zero.
Apply net torque about the end = 0
F2*0.5 - m*g*1 = 0
F2 = m*g/0.5
= 22.5*9.8/0.5
= 441 N <<<<<<<<<<---------------Answer
b) Now apply, Fnety = 0
F2 - F1 - m*g = 0
==> F1 = F2 - m1*f
= 441 - 22.5*9.8
= 220.5 N <<<<<<<<<<---------------Answer
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