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IGCSE · Cambridge (CIE) · 0972

Explain stability using the weight line and tipping edge

Use a restoring or toppling moment instead of claiming that every small tilt makes an object fall.

Section 1.5.3 · Centre of gravity

Centre of gravity pathway · 0972 (9–1) · 1.5.3
Exam scope and assessment notes

Core and Extended · Physics 0972, 2026–2028, section 1.5.3. Define centre of gravity, describe its determination for an irregular plane lamina, and explain qualitatively how its position affects stability. Compare the weight line with the base or tipping edge; no critical-angle calculation is required here. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.

Before you begin

  • Identify the vertical line through centre of gravity.
  • Describe moment direction about a pivot.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

Which line must be compared with a tipping edge?

What you will learn

  • Explain restoring and toppling tendencies qualitatively.
  • Relate the vertical weight line to a base edge during a tilt.
One uniform rectangular body has width 0.40 m and height 0.60 m, with centre of gravity 0.20 m left and 0.30 m above its right base edge before tilting. Two clockwise model rotations, 15° and 50°, about that same edge place its vertical weight line respectively left and right of the edge. The first weight moment restores anticlockwise; the second topples clockwise. Geometry uses two hundred and forty drawing units per metre; force arrows are schematic. These qualitative comparisons assume rigid fixed-edge tipping without sliding or an additional applied moment, and do not certify a real object's safety.Weight line crosses the tipping edgeGRight edgeWeight left of edge: restoringGRight edgeWeight right of edge: topplingSame body and edge · no sliding model
One uniform rectangular body has width 0.40 m and height 0.60 m, with centre of gravity 0.20 m left and 0.30 m above its right base edge before tilting. Two clockwise model rotations, 15° and 50°, about that same edge place its vertical weight line respectively left and right of the edge. The first weight moment restores anticlockwise; the second topples clockwise. Geometry uses two hundred and forty drawing units per metre; force arrows are schematic. These qualitative comparisons assume rigid fixed-edge tipping without sliding or an additional applied moment, and do not certify a real object's safety.

Track weight as the object tilts

For a simple rigid object resting on a level base, its vertical weight line should lie within the supported base for ordinary static balance. As the object tilts about a base edge, consider the moment of weight about that edge. If the centre of gravity remains on the returning side of the edge, its weight tends to restore the object to its base after a small release.

If the weight line moves to the outside of the tipping edge, weight instead tends to turn the object farther over. At the limiting position where the line passes through the edge, weight has zero moment about it; this is a boundary rather than a guarantee of robust stability. Disturbances or another applied force can determine what happens at or near that boundary.

Use the line of action, not the nearest visible corner

The original model diagram follows the same rectangular body through two clockwise tilts about its right base edge. In the first position the vertical weight line lies left of that edge and gives an anticlockwise restoring tendency. In the second it lies right and gives a clockwise toppling tendency. The arrows are schematic weight-direction indicators rather than a measured prediction of the subsequent motion.

This qualitative explanation assumes a rigid body, suitable contact, a fixed tipping edge and no other unaccounted turning forces after release. Sliding can occur instead if contact cannot provide the needed friction, and an external push can temporarily supply another moment. State the ideal tipping assumptions rather than promising that every real object follows only the weight moment.

Pause and explain

For a right-edge pivot, a downward weight line lies to its right. What does weight tend to do?

Put the idea to work

Worked example

A body is tilted about its right base edge. Its centre of gravity's vertical line lies left of that edge. What is the weight's turning tendency?

Show the worked solution
  1. Choose the right edge as the pivot.
  2. The downward weight line is to the left of the edge.
  3. Its moment is anticlockwise, tending to restore the body rather than topple it farther right.

Answer Anticlockwise restoring tendency about the right edge.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

For a right-edge pivot with the weight line left of it, identify the weight moment and release tendency in the ideal tipping model.

Give me a hint

Imagine a downward force on the left of the chosen pivot.

Compare my reasoning
  1. Weight acts downward through centre of gravity.
  2. A downward force left of the edge has an anticlockwise moment.
  3. That tendency returns the body towards its resting base.

Anticlockwise restoring tendency.

Look for these in your work

  • Use the correct edge as pivot.
  • Connect the moment direction to restoration.
2 · Independent

Compare weight lines left of, through, and right of a right tipping edge.

Give me a hint

The signed lever arm changes as the force line crosses the edge.

Compare my reasoning
  1. Left gives an anticlockwise restoring tendency.
  2. Through the edge gives zero weight moment and the limiting position.
  3. Right gives a clockwise toppling tendency.

Left: restoring; through: zero weight moment at the limit; right: toppling.

Look for these in your work

  • Distinguish all three positions.
  • Avoid calling the boundary a robust stable state.
3 · Transfer

A tilted box slides before it topples. Explain why a diagram of the weight moment alone did not guarantee its actual motion.

Give me a hint

Check the assumed contact and fixed-edge model.

Compare my reasoning
  1. The tipping explanation assumed suitable contact and a fixed pivot edge.
  2. Insufficient friction allows a different sliding motion.
  3. Actual motion requires the contact forces and any applied push as well as weight to be considered.

The fixed-edge tipping assumptions failed; contact forces and friction permit sliding instead.

Look for these in your work

  • Identify the failed assumption.
  • Include forces beyond the weight-only moment argument.

Common mistakes

  • Track the vertical weight line through centre of gravity.
  • An edge-aligned line is a limiting position rather than a stable margin.
  • State contact and no-other-force assumptions.
Recall without your notes

What can you explain now?

What changes when the weight line moves outside the right tipping edge?

Compare with the explanation

Weight gives a clockwise toppling tendency.

The force line has moved to the opposite side of the same pivot.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Draw a weight line on either side of one tipping edge and explain why its moment reverses.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Physics (9-1)

Course scope and assessment

491 sequenced Physics lessons provide 1473 guided, independent and application problems. 58 of 58 syllabus sections have full linked teaching sequences; 0 sections remain pending. Three earlier starter overviews remain available but are not counted as full sequences. The map covers all six subject areas for 2026–2028 and keeps review and assessment limits visible. This is available content, not full programme completion, an exam grade or certified mastery. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Paper method exercises do not demonstrate practical competence or complete either practical-assessment route. This is the separate 9–1 qualification 0972; Cambridge states that its 2026–2028 subject content is otherwise the same as 0625. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. The 2029 syllabus is separately published at https://www.cambridgeinternational.org/Images/764368-2029-syllabus.pdf and is not yet mapped here. This course supports exams in 2026, 2027 and 2028 only.

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