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Lesson: Chapter 11 — Turning Effect of a Force

11.1. Moment of a force 9 of 12

Two ways to turn

A moment has not only a size but a direction — though not left or right, but the way round it turns.

When a force acts on a body, the direction of its moment is decided by the way that force turns the body. There are only two ways to turn.

Clockwise

Turning the same way the hands of a clock go.

Anticlockwise

Turning against the hands of a clock.

Figure to be added

Figure 11.6 — Anticlockwise and clockwise moments: a wooden strip pivoted at O with F1 acting downwards at a distance d1 and F2 downwards at d2.

Two forces on one strip

Consider a wooden strip pivoted at O as in figure 11.6. The force F1 turns it one way; the force F2 turns it the other.

clockwise moment = F1 × d1

anticlockwise moment = F2 × d2

When both forces act at once they work against each other, so what is left is the difference between them.

resultant moment = F1 × d1 − F2 × d2

Here the clockwise moment has been taken as positive.

Which one counts as positive?

Taking clockwise as positive is a convention, not a law. Take anticlockwise as positive instead and only the sign of the answer changes; the way the body turns is the same. Keep to one convention throughout a single problem.

And what if the two moments happen to be equal? That is the next page.