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28 November, 08:51

Two equal-magnitude forces are applied to a door at the doorknob. The first force is applied perpendicular to the door, and the second force is applied at 30° to the plane of the door. Which force exerts the greater torque about the door hinge?

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  1. 28 November, 11:13
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    in first case the torque is maximum.

    Explanation:

    Torque is defined as the product of force and the perpendicular distance.

    τ = F x d x Sinθ

    In case A: the angle between force vector and the distance vector is 90 so torque is

    τ = F x d

    In case B: the angle between force vector and the distance is 30°.

    τ = F x d x Sin30

    τ = 0.5 Fd

    So the torque is maximum in first case.
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