prove that : moment of couple = force × couple arm
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At A and B. two equal and opposite forces, each of magnitude F is applied. The two forces rotate the bar in the anticlockwise direction. The perpendicular distance between the two forces is AB which is called the couple arm.
Moment of force F at the end A
=F×OA (anticlockwise)
Moment of force F at the end B
=F×OB (anticlockwise)
Total moment of a couple =F×OA=F×OB
=F×(OA+OB)=F=AB
=F×d (anticlockwise)
= Either force x perpendicular distance between the two forces (or couple arm)
Thus. Moment of couple = Force × Couple arm
Explanation:
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