The drawing shows a rectangular piece of wood. The forces applied to corners B a

Question

The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 17N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of rotation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to corner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilibrium. Find the magnitude and direction of the force applied to corner A.

Explanation / Answer

torque = r perp *F

suppose ccw is positive
sum torques = -L/2*17 + W/2*17 +L/2*F

L=2W

-W*17 + W/2*17 +W*F = 0

F= 8.5 N
positive so ccw torque so towards B

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