A uniform 300-N trapdoor in a ceiling is hinged at one side. a) Find the net upw

Question

A uniform 300-N trapdoor in a ceiling is hinged at one side.

a) Find the net upward force needed to begin to open it, if the upward force is applied at the center.

b) Find the total force exerted on the door by the hinges, if the upward force is applied at the center.

c) Find the net upward force needed to begin to open it, if the upward force is applied at the center of the edge opposite the hinges.

d) Find the total force exerted on the door by the hinges, if the upward force is applied at the center of the edge opposite the hinges.

Explanation / Answer

As center of mass is at center of door   

a) F= 300 N needed
b) Net force by hinges = 300-300 = 0

c) F= 300/2 =150 N

d) F by hinge = 300-150 = 150 N

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