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Moments and Equilibrium

Moment of a force

  • 3 things to know
  • Unit AS 1

Overview

Recall questions on the definition of a moment and its equation, why the unit is the newton metre and not the joule, why the perpendicular distance is used, the moment of a force through the pivot, the spanner and door handle examples, and calculations with a force at an angle to the lever.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Give the unit of a moment and explain why it is not written as a joule even though it is also a newton metre.

Key term

State the equation for the moment of a force, defining each symbol and its unit.

Key term

State the moment of a force whose line of action passes through the pivot.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the moment of a force about a point.

    Model answer

    The moment of a force about a point is the product of the force and the perpendicular distance from that point to the line of action of the force.

  2. 2

    State the equation for the moment of a force, defining each symbol and its unit.

    Model answer

    The moment is M = Fd, where M is the moment in newton metres (N m), F is the force in newtons (N) and d is the perpendicular distance in metres (m) from the point to the line of action of F.

  3. 3

    Give the unit of a moment and explain why it is not written as a joule even though it is also a newton metre.

    Model answer

    The unit is the newton metre (N m); the joule is reserved for energy, which is a force multiplied by a distance moved in the direction of the force, whereas a moment uses a distance measured at right angles to the force.

  4. 4

    What must be stated alongside the size of a moment, and why?

    Model answer

    The sense of the moment must be stated as clockwise or anticlockwise, because two moments of the same size in opposite senses cancel rather than add.

  5. 5

    Name the two factors that determine the turning effect of a force about a point.

    Model answer

    The turning effect depends on the magnitude of the force and on the perpendicular distance from the point to the line of action of that force.

  6. 6

    Why is the perpendicular distance used in calculating a moment rather than the distance from the pivot to the point where the force is applied?

    Model answer

    Only the component of the force at right angles to the line joining the pivot to the point of application produces turning, and using the perpendicular distance from the pivot to the line of action gives exactly that turning effect.

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