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Forces in Action

Moments, couples and equilibrium

  • 3 things to know
  • Papers 1 and 3

Overview

Recall questions on free-body diagrams, moments and the principle of moments, couples and torque, centre of mass and centre of gravity, finding the centre of gravity of a lamina, and the conditions for equilibrium.

What you need to know

Answer each one before you reveal it.

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Numbers

Write the equation for the torque of a couple.

Key term

When finding the centre of gravity of an irregular lamina, what is done first?

Numbers

Calculate the moment when force = 354 N, perpendicular distance = 1.15 m.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a free-body diagram?

    Model answer

    A free-body diagram shows all the forces acting on a single isolated object, with each force represented as a labelled arrow indicating magnitude and direction.

  2. 2

    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 the line of action of the force to the point.

  3. 3

    State the equation for calculating the moment of a force.

    Model answer

    Moment = Fx, where F is the force and x is the perpendicular distance from the line of action to the pivot point.

  4. 4

    Calculate the moment when force = 354 N, perpendicular distance = 1.15 m.

    Model answer

    Moment = 354 × 1.15 = 407 N m.

  5. 5

    What is a couple?

    Model answer

    A couple consists of two equal and opposite parallel forces whose lines of action do not coincide, producing a pure rotation with no net translational force.

  6. 6

    Define the torque of a couple.

    Model answer

    The torque of a couple is the product of one of the forces and the perpendicular distance between the lines of action of the two forces.

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