A 20 kg uniform door has a width of 1.2 m and a height of 2.5 m. The door is mou

Question

A 20 kg uniform door has a width of 1.2 m and a height of 2.5 m. The door is mounted on a post by a pair of hinges, marked 1 and 2, at the top and bottom of the door. An external force of 60 N, at an angle of 30

A 20 kg uniform door has a width of 1.2 m and a height of 2.5 m. The door is mounted on a post by a pair of hinges, marked 1 and 2, at the top and bottom of the door. An external force of 60 N, at an angle of 30A degree above the horizontal, is applied to the doorknob, as shown. The doorknob is 1.0 m above the bottom of the door. In the figure, the x-component of the force, exerted on the door at the top by hinge 1, is closest to:

Explanation / Answer

torque about hinge 2 is

60 cos 30 (1) -60 sin 30 (1.2) + F(2.5)=0

here F is the horizontl force applied by hinge

that gives F = -8.78N

so the hinge applies a force of 8.78 N towards the wall

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