A pair of forces with equal magnitudes, opposite directions, and different lines

Question

A pair of forces with equal magnitudes, opposite directions, and different lines of action is called a ?couple.? When a couple acts on a rigid object, the couple produces a torque that does not depend on the location of the axis. The figure shows a couple acting on a tire wrench, each force being perpendicular to the wrench. Let L = 0.353 m and F = 49.7 N. Determine the torque produced by the couple when the axis is perpendicular to the tire and passes through (a) point A, (b) point B, and (c) point C.

Explanation / Answer

(a) -F*0 + L*F = 0.353*49.7 = 17.5441 Nm (b) -F*(-L/2) + F*L/2 = 17.5441 Nm (c) -F*(-L) + F*0 = 17.5441 Nm

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