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P1.5.3P1. Motion, Forces and Energy

Centre of gravity — Combined Science 0653 - Physics Revision Notes & Topical Questions

5 min read 7 parts Lesson 8 of 15 1 quiz

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P1.5.3 Centre of gravity — COMBINED SCIENCE notes: Define centre of gravity, find it for a plane lamina, and explain how its position affects stability.Centre of gravity = the point through which the weight of an object appears to act.Symmetrical uniform objects — the centre of g…

  • Suspended objects
  • Why it works
  • Stable object
  • Most stable design
  • Least stable design
  • Wider base

Section 1 of 7Centre of gravity

Centre of gravity
Centre of gravity
Centre of gravity the point through which the weight of an object appears to act.
Symmetrical uniform objects
  • Symmetrical uniform objects the centre of gravity is at the point of symmetry.
  • The centre of gravity of a sphere is at its centre.
Suspended objects
  • Suspended objects a freely hanging object settles with its centre of gravity directly below the point of suspension.

Section 2 of 7Finding the centre of gravity of a plane lamina

1
Punch three holes near the edge of the lamina in different places.
2
Hang a cork horizontally in a clamp and hang the lamina from a pin through one hole so that it swings freely.
3
Hang a plumb line (a weighted thread) from the same pin.
4
Mark the line of the thread on the lamina with a pencil once it has settled.
5
Repeat with the other holes to draw three lines.
6
Read off the centre of gravity at the point where the lines cross.
7
Check by balancing the lamina on a pin tip at that point.
Why it works
  • Why it works the plumb line passes through the centre of gravity, so two lines are enough to find it.
Accuracy
  • Accuracy punch the holes first, let the lamina settle, view the plumb line straight on and use a sharp pencil.
Safety
  • Safety secure the clamp stand and push the pin into a cork when it is not in use.

Section 3 of 7Stability

Stable object
  • Stable object its centre of gravity lies above its base.
Toppling
  • Toppling when the line of action of the weight falls outside the base, the weight produces a resultant moment that tips the object over.
Most stable design
  • Most stable design a low centre of gravity and a wide base.
  • A car is more stable than a tall bus because its centre of gravity is lower.
Least stable design
  • Least stable design a high centre of gravity and a narrow base, as in a bowling pin that is meant to topple.

Section 4 of 7Increasing stability

Wider base
  • Wider base a wide base keeps the line of action of the weight inside the base for larger tilts, as in a Bunsen burner or a child's high chair.
Lower centre of gravity
  • Lower centre of gravity placing the mass low down means the object must be tilted further before it topples.
Tall, narrow vehicles
  • Tall, narrow vehicles high-sided lorries have a high centre of gravity and are advised to avoid exposed bridges in strong wind.

Section 5 of 7More from the specification

More from the specification
Moments
  • Moments the moment of a force is force times perpendicular distance from the pivot, in newton metres.
Principle of moments
  • Principle of moments in equilibrium the clockwise moments equal the anticlockwise moments about any pivot.
Centre of gravity
  • Centre of gravity the point where the whole weight seems to act;
    • a freely suspended object hangs with it directly below the pivot.
Experiment
  • Experiment balance a ruler on a pivot with masses at measured distances to verify the principle,
  • or hang a plumb line to find the centre of gravity of an irregular card.
Equilibrium
  • Equilibrium the resultant force and resultant moment are both zero, so no acceleration or rotation occurs.
Moments
  • Moments the moment of a force is force times perpendicular distance from the pivot, in newton metres.
Principle of moments
  • Principle of moments in equilibrium the clockwise moments equal the anticlockwise moments about any pivot.
Centre of gravity
  • Centre of gravity the point where the whole weight seems to act;
    • a freely suspended object hangs with it directly below the pivot.
Experiment
  • Experiment balance a ruler on a pivot with masses at measured distances to verify the principle,
    • or hang a plumb line to find the centre of gravity of an irregular card.
Equilibrium
  • Equilibrium the resultant force and resultant moment are both zero, so no acceleration or rotation occurs.
Perpendicular distance
  • The shortest distance from the pivot to the line of action of the force.
Turning effect
  • The tendency of the equal and opposite forces on the coil to rotate it about the axle.
Clockwise
  • Turning in the direction of the hands of a clock.
Equilibrium
  • No resultant force and no resultant moment on an object.
Force
  • A push or pull on an object caused by an interaction with another object.

Section 6 of 7Key terms

TermMeaning
Centre of gravityThe point through which the weight of an object acts.
Plane laminaA flat sheet of uniform thickness.
Plumb lineA weighted thread that hangs vertically.
StabilityThe ability of an object to return to its position instead of toppling.
Line of actionThe line along which a force acts.

Section 7 of 7Exam technique

1
Saying the centre of gravity is always at the geometric centre — it is only there for symmetrical objects of uniform density.
2
Punching the holes after finding the centre — this changes the position of the centre of gravity.
3
Thinking an object topples when it is tilted at all — it topples when the weight acts outside the base.
4
Drawing only one plumb line — at least two are needed and a third checks the result.

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