Two forces produce equal torques on a door about the door hinge. the first force is at the midpoint of the door; the second force is applied at the doorknob. both fortes are applied perpendicular to the door. which force has a greater magnitude?
the first force (at the midpoint).
the second force (at the doorknob).
the two forces are equal.

The force at the midpoint of the door.

Explanation:

The torque produced in the door will be:

              T = rFsinθ

Here θ = 90 degrees so,

               T = rF  

At the midpoint of the door the moment arm is half than that of doorknob. So, to produce same torque we have to apply two times force at the midpoint of the door than the force at doorknob.

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