Moments and centre of gravity Edexcel International GCSE Physics revision

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In plain words

A moment is the turning effect of a force: how hard it tries to spin something round a pivot. A long spanner makes a nut easier to undo because the same push is further from the pivot. Something balances when the clockwise moments equal the anticlockwise ones.

Three things to know

  1. Moment = force × perpendicular distance from the pivot. Its unit is N m.
  2. When an object is balanced, the total clockwise moment about the pivot equals the total anticlockwise moment.
  3. An object is more stable with a low centre of gravity and a wide base. It topples when its centre of gravity moves outside its base.

Worked example

A 4 N weight sits 30 cm to the left of a pivot. Where must a 6 N weight go on the right to balance it?

  1. Anticlockwise moment = 4 × 30 = 120 N cm.
  2. For balance, 6 × d = 120.
  3. d = 20 cm from the pivot.

Tips and tricks

  • The distance is measured at right angles from the pivot to the line of the force.
  • In balance questions write "clockwise moments = anticlockwise moments" before any numbers. It's the sentence the mark scheme is looking for.
6 questions, about 2 minutes.

It lands in your notebook with its questions as flashcards.

Moments and centre of gravity: 6 questions and answers

These are the quiz’s questions. Do the quiz first, then come back here for the ones that got you.

  1. A spanner 0.20 m long is pushed at its end with a force of 50 N. What is the moment?
    • 2.5 N m
    • 10 N m (the answer)
    • 50.2 N m
    • 250 N m

    Moment = 50 × 0.20.

  2. Why is it easier to open a door by pushing far from the hinge?
    • The force is bigger.
    • The same force gives a bigger moment. (the answer)
    • The door weighs less there.
    • Friction is smaller there.

    Moment = force × distance, so a longer distance gives more turning effect.

  3. A beam is balanced. Which statement must be true?
    • All the forces are equal.
    • Clockwise moments equal anticlockwise moments. (the answer)
    • There are no forces on it.
    • The pivot is at one end.

    That is the principle of moments.

  4. Where is the centre of gravity of a uniform metre rule?
    • at the 0 cm mark
    • at the 25 cm mark
    • at the 50 cm mark (the answer)
    • at the 100 cm mark

    For a uniform object it is at the middle.

  5. A 6 N weight hangs 40 cm from a pivot. What weight 60 cm from the pivot on the other side balances it?
    • 4 N (the answer)
    • 6 N
    • 9 N
    • 10 N

    6 × 40 = W × 60, so W = 4 N.

  6. Which change makes a table lamp more stable?
    • a taller stand
    • a lighter base
    • a heavier, wider base (the answer)
    • a narrower base

    It lowers the centre of gravity and widens the base.

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