Two forces produce equal torques on a door about the door hinge.The first force is applied at the midpoint of the door;the second force is applied at the doorknob.Both forces are applied perpendicular to the door.Which force has a greater magnitude?
A)the first force (at the midpoint)
B)the second force (at the doorknob)
C)The two forces are equal.

Question

Quizplus · Accepted Answer

Torque is the product of force and the distance from the pivot point. Since the first force is applied at the midpoint, which is closer to the hinge than the doorknob, it must have a greater magnitude to produce the same torque as the second force applied at the doorknob.

Two Forces Produce Equal Torques on a Door About the Door