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Mechanics

Centre of gravity, equilibrium and the principle of moments

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Overview

Recall questions on locating a centre of gravity, the two conditions for equilibrium, the principle of moments, and why a low, wide vehicle is stable.

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Answer each one before you reveal it.

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Key term

How is the centre of gravity defined, when does it coincide with the centre of mass, and where does it lie on a uniform rod?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is the centre of gravity of a body defined?

    Model answer

    It is the single point at which the entire weight of the body may be taken to act.

  2. 2

    When do the centre of gravity and the centre of mass of a body coincide?

    Model answer

    When the body lies in a uniform gravitational field, which is effectively always the case for laboratory-sized objects on Earth.

  3. 3

    Where is the centre of gravity of a uniform rod?

    Model answer

    It lies at the midpoint of the rod, on its axis.

  4. 4

    How can the centre of gravity of an irregular flat lamina be found experimentally?

    Model answer

    Suspend it freely from one point with a plumb line hanging from the same point and mark the vertical, repeat from a second point, and the centre of gravity lies where the two marked lines cross.

  5. 5

    Which two conditions must both be met for a rigid body to be in equilibrium?

    Model answer

    The resultant force on the body must be zero and the resultant moment about any point must also be zero.

  6. 6

    What does the principle of moments state?

    Model answer

    For a body in equilibrium, the sum of the clockwise moments about any point equals the sum of the anticlockwise moments about that same point.

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