Question

Prove that : Moment of couple = Force x Couple arm.

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Answer

rotation-two-forces-diagram-q18-concise-physics-icse-class-10-solutions-825x549

At point A and point B two forces act which rotate the bar in anticlockwise direction.

The perpendicular distance between the two forces called AB is the couple arm.

Moment of force F at A = F × OA (anticlockwise)

Moment of force F at B = F × OB (anticlockwise)

Total moment of couple = F x OA + F × OB

F x (OA + OB) = F × AB

= F × d

Hence proved : Moment of force = Force × Couple arm

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