CSEC PHYSICS · SECTION A · LESSON A7

Centre of Gravity and Stability

What the centre of gravity is, how to find it for a lamina with a plumb line, and how the position of the centre of gravity and the width of the base decide whether an object is stable.

MechanicsA 3.11A 3.12≈ 35 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON A7 · EXPLAINER

Centre of Gravity and Stability

A double-decker bus can tilt a long way without toppling, yet a tall narrow shelf unit falls easily. The secret is where the weight line falls.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Explore in 3D

Stability in 3D

Tilt the block and find the angle at which it topples.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Centre of gravity

The point through which the whole weight of the body appears to act.

Uniform object

CG at the geometric centre.

Finding CG of a lamina

Hang from 3 holes with a plumb line; the lines cross at the CG.

Stable

Returns when tilted slightly: CG rises.

Unstable

Falls further: CG lowers.

Neutral

Stays where placed: CG height unchanged.

Topples when

The vertical line from the CG falls outside the base.

Increase stability

Lower the CG and widen the base.

EXAM TIPS & COMMON MISTAKES

  • Draw the vertical line down from the centre of gravity and check whether it is inside the base.
  • For a plumb-line practical, say the plumb line hangs from the same pin as the lamina.
  • Explain stability using BOTH the CG height and the base width.
  • A “tilting” question: say “the weight acts through the CG, which is outside the base, so there is a turning moment about the edge”.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus A 3.11

1. The centre of gravity of a body is the point

Answer: D. That is the definition of CG.
Syllabus A 3.11

2. A student uses a plumb line to find the centre of gravity of a lamina. The centre of gravity is

Answer: A. Each line passes through the CG.
Syllabus A 3.12

3. Which change makes an object MORE stable?

Answer: B. A low centre of gravity makes toppling less likely.
Syllabus A 3.12

4. An object topples when the vertical line through its centre of gravity

Answer: C. The weight then has a moment about the edge.
Syllabus A 3.12

5. A cone balanced on its point is in

Answer: D. Displacement lowers the CG so it falls further.
Syllabus A 3.12

6. A cone lying on its side on a table is in

Answer: A. Rolling does not change the CG height.
Syllabus A 3.12

7. Racing cars are built low and wide so that they have

Answer: B. Both increase stability.
Syllabus A 3.11

8. A ball is released from a hanging position and swings. At rest it hangs with its centre of gravity

Answer: C. Weight gives no moment about the pivot only when the CG is directly below it.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (11 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Centre of gravity

Question 1 [11 marks]

A student is asked to find the centre of gravity of an irregular piece of card.

(a) (a) Define the centre of gravity of a body. [1]

MARK SCHEME — (a) (max 1)

(b) (b) Describe how the student can find it using a plumb line, a pin and a stand. [4]

MARK SCHEME — (b) (max 4)

(c) (c) State how the student could check the result. [1]

MARK SCHEME — (c) (max 1)

(d) (d) A tall narrow bottle tips over at a smaller angle than a short wide one. Explain why. [3]

MARK SCHEME — (d) (max 3)

(e) (e) Name the type of equilibrium of a ball on a flat table and give a reason. [2]

MARK SCHEME — (e) (max 2)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.