IGCSE Physics Centre of Gravity Questions and Worked Solutions
50 topic-wise practice questions on Centre of Gravity (Unit 1: Motion, Forces and Energy), written to the Cambridge IGCSE Physics 0625 syllabus for 2026–2028, each with a step-by-step worked solution.
Topic guide: Centre of Gravity
The centre of gravity is the point through which the whole weight of an object seems to act. Its position decides how stable an object is and whether it will topple.
Key formulas
| an object topples when its weight acts outside its base | line of action of the weight | Core |
Prerequisite knowledge
- Weight (1.3)
- Moments (1.5.2)
Exam tips & common mistakes
- Explain toppling using the line of action of the weight relative to the edge of the base
- In the plumb-line experiment, mention letting the lamina hang freely and come to rest
- State BOTH low centre of gravity AND wide base for stability marks
Key facts from the syllabus (1.5.3)
- The centre of gravity of a uniform regular shape is at its geometric centre
- Find the centre of gravity of a plane lamina by hanging it from two points with a plumb line; it lies where the lines cross
- An object is more stable if it has a low centre of gravity and a wide base
- When tilted, an object returns to its original position if the weight still acts inside the base
- The centre of gravity can lie outside the material (e.g. a ring)
Textbook: §1.5 Forces, pp. 33–54
State what is meant by the centre of gravity of an object.
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Method: The single point where weight can be taken to act.
State where the centre of gravity of a uniform metre rule is.
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Method: Uniform: at the middle.
Describe an experiment to find the centre of gravity of an irregularly shaped plane lamina.
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Method: Plumb line method.
In the plumb-line experiment, explain why the lamina is hung from at least two points.
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Method: One line only shows that the centre of gravity lies on it.
State one precaution in the plumb-line experiment.
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Method: Lamina must swing freely.
State two ways of making an object more stable.
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Method: Low centre of gravity, wide base.
Explain why racing cars are built low and wide.
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Method: Low centre of gravity and wide base make toppling harder.
Explain why a tall, narrow bottle topples more easily than a short, wide one.
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Method: Its centre of gravity is high and its base is narrow.
State the condition at which an object starts to topple over.
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Method: Line of action of weight passes outside base.
A double-decker bus is loaded with passengers on the upper deck only. Explain why it is less stable than when the passengers sit on the lower deck.
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Method: Mass high up raises the centre of gravity.
State where the centre of gravity of a uniform rectangular sheet is.
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Method: Symmetry.
Four identical blocks: 4 cm × 3 cm × 3 cm stood on a 3 × 3 face, and 6 × 3 × 2 cm laid on a 6 × 3 face. State which is more stable and why.
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Method: Compare centre of gravity height and base area.
Explain why a mountaineer leans forward when carrying a heavy backpack.
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Method: Keeps combined centre of gravity above the feet.
Explain why a table lamp has a heavy base.
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Method: Heavy base lowers the centre of gravity.
A Bunsen burner has a wide, heavy base. Give two reasons it is hard to knock over.
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Method: Low centre of gravity and wide base.
A ring-shaped lamina has its centre of gravity at the centre of the hole. Explain how this is possible.
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Method: Centre of gravity need not be on the material.
State what happens to an object if its centre of gravity is directly above its pivot.
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Method: It is balanced (but may be unstable).
A ladder leans against a wall. A painter climbs higher. Explain the effect on stability.
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Method: Combined centre of gravity rises.
Explain why a wide-based glass is less likely to spill than a tall thin one when knocked.
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Method: Line of weight stays within base longer.
A uniform plank is supported at one end only. Explain why it rotates.
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Method: Its weight acts at the centre, creating an unbalanced moment.
Describe the position of the centre of gravity of a uniform circular disc.
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Method: Symmetry.
State why a plumb line is used when finding the centre of gravity of a lamina.
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Method: Shows vertical.
A lamina hanging from a pin comes to rest. State where its centre of gravity is relative to the pin.
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Method: Directly below.
Explain why a lorry carrying a heavy load high up is more likely to tip over on a bend.
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Method: High centre of gravity.
Explain why a baby's high chair has legs that spread outwards.
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Method: Wide base.
State what happens to a tilted object if its weight acts inside the base when released.
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Method: Returns.
State what happens to a tilted object if its weight acts outside the base when released.
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Method: Topples.
Explain why a tightrope walker uses a long pole.
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Method: Lowers centre of gravity / balance.
Explain why heavy items should be placed on lower shelves of a bookcase.
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Method: Lower centre of gravity.
A cone stands on its base, then on its point, then on its side. State which position is most stable and explain.
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Method: Low centre of gravity, wide base.
Explain why a person standing with feet apart is more stable than with feet together.
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Method: Wider base.
A uniform ruler balances on a finger at the 50 cm mark. A coin is placed at the 90 cm mark. State where the finger must be moved to balance it again.
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Method: Towards the coin.
Explain why a full glass is more stable than an empty glass of the same type.
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Method: Water lowers centre of gravity.
State the effect of adding a heavy mass to the base of a toy on its centre of gravity.
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Method: Lowers it.
A rectangular block 10 cm tall, with a base 4 cm wide, has its centre of gravity at its centre. Explain why it topples when tilted beyond a certain angle.
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Method: Weight passes outside base edge.
A filing cabinet has all its heavy files in the top drawer. Explain why it may tip over when that drawer is pulled out.
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Method: Centre of gravity moves forward.
Explain why a pencil cannot be balanced on its point for long.
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Method: Tiny base.
State one way of finding the centre of gravity of a uniform metre rule experimentally.
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Method: Balance on knife edge.
Explain why the centre of gravity of an L-shaped lamina can lie outside the material.
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Method: Shape.
Explain why bus manufacturers carry out tilt tests.
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Method: Check stability.
Challenge questions
Harder, multi-step questions at the top end of the exam. Attempt these once you are confident with the questions above.
A lamina is hung from point A and a plumb line drawn; then from point B. Explain why the two lines cross at the centre of gravity, and how you would check the result.
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Method: Weight acts vertically below suspension point.
A block 30 cm tall with a square base 10 cm wide has its centre of gravity at its centre. Explain why it topples when tilted about one edge by more than about 18°.
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Method: tan θ = 5/15.
Two identical bottles, one empty and one half-full of water, are tilted. Explain which one can be tilted further before toppling.
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Method: Water lowers centre of gravity.
Explain why a double-decker bus is designed with the engine and heavy parts low down, and why standing passengers are not allowed upstairs.
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Method: Keep centre of gravity low.
A uniform 1.0 m rule balances at 50 cm. A 20 g mass is taped at the 90 cm mark and the rule (mass 100 g) is re-balanced. Calculate the new balance point.
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Method: Combined centre of gravity.
Explain why a high-jumper using the Fosbury flop can clear a bar while their centre of gravity passes below it.
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Method: Body bends around bar.
A bookcase 2.0 m tall and 0.40 m deep has its centre of gravity 1.0 m high at the centre of its depth. Heavy books are placed on top, raising the centre of gravity to 1.4 m. Explain the effect on stability and calculate the tilt angle at which it would topple in each case.
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Method: tan θ = 0.20 ÷ height of CG.
Explain why a tall crane has a large counterweight close to the ground and a wide base.
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Method: Stability.
Explain why it is hard to stand up from a chair without leaning forward first.
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Method: Centre of gravity must be over feet.
A rectangular sheet 40 cm × 20 cm has a 10 cm × 10 cm square cut from one corner. Explain qualitatively how the centre of gravity moves compared with the full sheet.
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Method: Mass removed from one side.
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