# 12.14.1. Couples

Given that the forces , , and are acting at the points , , and respectively, where the system of forces is equivalent to a couple, , and , determine the magnitude of the moment of the couple.

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is a square of side length cm, where two forces of magnitudes N are acting at and respectively, and their lines of action are in the direction of and respectively. Determine the magnitude of the moment of the couple.

• A
• B
• C
• D
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If the couples and are in equilibrium, where , then .

• A0
• B
• C
• D
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is a rectangle, where cm and cm. Determine the moment of the forces acting on the rectangle as shown in the figure, given that the forces are measured in newtons. Also, for the system to be in equilibrium, another two forces, each of magnitude , are required to act at and , where their lines of action are perpendicular to . Determine the magnitude of and direction of rotation of the formed couple.

• A, N, acting clockwise
• B, N, acting clockwise
• C, N, acting counterclockwise
• D, N, acting counterclockwise
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