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Consider the door above (pictured from above), hinged on the left. Three forces,

ID: 2251844 • Letter: C

Question

Consider the door above (pictured from above), hinged on the left. Three forces, F1, F2, and F3, are applied separately to the door. Each of the forces are of equal magnitude, 15 N, but are applied at different points and at different angles as shown. For which force will the door open the quickest?

explain please!!

Consider the door above (pictured from above), hinged on the left. Three forces, F1, F2, and F3, are applied separately to the door. Each of the forces are of equal magnitude, 15 N, but are applied at different points and at different angles as shown. For which force will the door open the quickest? explain please!!

Explanation / Answer

The point which is farthest from the door will open the door quickest because to open the door (which is hinged) torque is needed, since we have to rotate it in order to open it.

T= rXF (vector product) where r is the distance of the point of application of force from the axis of rotation and F is the force.

Here the magnitude of the force is same thus the point having maximum distance from the hinge will have maximum torque thus it will be easier to open.