Question

A person carries a plank of wood 2 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. If the plank has a mass of 20 kg and its center of gravity is at the middle of the plank, what are the forces F1 and F2?

Answer 1

F₁+mg=F₂ ….(1)
2•F₁+1•mg=1.5•F₂…(2)
From (1)
F₁ =F₂ -mg ….(3)
Substitute (3) in (2)
2(F₂ -mg) +mg = 1.5•F₂
F₂=2mg=....
F₁=mg= ....

Answer 2

49, 24