Moments (Oxford AQA IGCSE Physics)

Revision Note

Moments

What is a moment?

  • Forces exerted on objects can have a turning effect

  • The turning effect of a force is called the moment

  • Rotation occurs about a fixed pivot

    • Rotation can be clockwise or anticlockwise

Clockwise and anticlockwise rotation

Clockwise and anticlockwise depicted on the face of a clock, for IGCSE & GCSE Physics revision notes
Consider the hands of a clock when deciding if an object will rotate in a clockwise or anticlockwise direction
  • Examples of the rotation caused by a force are:

    • A child on a see-saw

    • Turning the handle of a spanner

    • A door opening and closing

    • Using a crane to move building supplies

    • Using a screwdriver to open a tin of paint

    • Turning a tap on and off

    • Picking up a wheelbarrow

    • Using scissors

Calculating moments

  • The size of a moment is defined by the equation:

M = F × d

  • Where:

    • M = moment in newton metres (N m)

    • F = force in newtons (N)

    • d = distance perpendicular to the direction of the force in metres (m)

  • The forces should be perpendicular to the distance from the pivot

    • For example, on a horizontal beam, the forces which will cause a moment are those directed upwards or downwards

The moments on a spanner

A spanner loosens a bolt. The bolt is the pivot, the force is applied in a downward direction from the end of the spanner.
The moment depends on the force and perpendicular distance to the pivot
  • The larger the distance, the less force is required and vice versa

    • If you try to push open a door right next to the hinge it is very difficult, as it requires a lot of force

    • If you push the door open at the side furthest from the hinge then it is much easier, as less force is required

Forces required to open a door

Moment on a door for IGCSE & GCSE Physics revision notes
A greater force is required to push open a door next to the hinges than at the door handle

Worked Example

A carpenter attempts to loosen a bolt that has rusted. To turn the bolt, they exert a force of 22 N using a spanner of length 20 cm. The force is exerted 5 cm from the end of the spanner.

Calculate the moment.

Answer:

Step 1: List the known quantities

  • Force, F space equals space 22 space straight N

  • Length of spanner equals space 20 space cm

Step 2: Determine the distance from the pivot

  • The force is exerted 5 cm from the end of the spanner

  • Therefore, the distance from the force to the pivot is

d space equals space 20 space minus space 5

d space equals space 15 space cm

  • Convert cm to m

d space equals fraction numerator space 15 over denominator 100 end fraction

d space equals space 0.15 space straight m

Step 3: Write out the equation for moments

M space equals space F space cross times space d

Step 4: Substitute in the known values to calculate

M space equals space 22 space cross times space 0.15

M space equals space 3.3 space straight N space straight m

Examiner Tip

It is always best practice to convert any values into SI units before you input them into your calculation. You are less likely to forget and less likely to make a mistake. Therefore, you are less likely to lose marks.

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