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Mechanics

The moment of a force

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Overview

Recall questions on the definition and unit of a moment, why the perpendicular distance is used, and why a moment is not measured in joules.

What you need to know

Answer each one before you reveal it.

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What is the unit of a moment, why must the distance be perpendicular, and why is a moment not measured in joules?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is the moment of a force defined, and what is its defining equation?

    Model answer

    The moment of a force is the force multiplied by the perpendicular distance from the axis of rotation to the force's line of action, moment = Fx.

  2. 2

    What is the unit of the moment of a force?

    Model answer

    The unit is the newton metre, N m.

  3. 3

    Why is the moment of a force not measured in joules, even though the joule is also a newton metre?

    Model answer

    Work uses the distance moved along the line of action of the force, whereas a moment uses a distance perpendicular to it, so they are different physical quantities.

  4. 4

    Why must the distance used in a moment calculation be the perpendicular distance?

    Model answer

    Only the component of the force at right angles to the line joining it to the pivot produces a turning effect.

  5. 5

    How do you calculate the moment of a force F applied at a distance d from a pivot when the force makes an angle θ with the line joining it to the pivot?

    Model answer

    The moment is Fd sin θ, using the perpendicular component of the force.

  6. 6

    A force of 25 N is applied at right angles to a spanner, 0.40 m from the nut. What is the moment about the nut?

    Model answer

    The moment is 25 × 0.40 = 10 N m.

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