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The diagram shows two forces F1 = 5 N and F2 = 3N acting at point A and B of a rod pivoted at a point O, such that OA = 2m and OB = 4m

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Question

The diagram shows two forces F1 = 5 N and F2 = 3N acting at point A and B of a rod pivoted at a point O, such that OA = 2m and OB = 4m

Calculate:

  1. Moment of force F1 about O
  2. Moment of force F2 about O
  3. Total moment of the two forces about O.
Numerical
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Solution

Given AO = 2m and OB = 4m

1) Moment of Force F1 (= 5N) at A about the point O

= F1 × OA

= 5 × 2

= 10 Nm (anticlockwise)

2) Moment of force F2 = (= 3N) at B about the point O

= F2 × OB

= 3 × 4

= 12 Nm (clockwise)

3) Total moment of forces at O

= clockwise moments - anticlockwise moments

= 12 - 10

= 2 Nm (clockwise)

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