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Keshu

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1. Principle of Moments

1. Principle of Moments

The Principle of Moments is a rule in physics that explains when an object will balance or rotate.

Statement (simple):

For an object to be in balance, the total clockwise moments must equal the total anticlockwise moments about a pivot.

Key ideas you must know first:

  • Force → a push or pull

  • Pivot (or fulcrum) → the point about which an object turns

  • Moment → the turning effect of a force

Formula:

Moment=Force x Perpendicular distance from pivot

So:

  • Bigger force → bigger turning effect

  • Bigger distance from pivot → bigger turning effect

2. Balancing Using the Principle of Moments

An object is balanced when it does not rotate.

Condition for balance:

Total clockwise moments=Total anticlockwise moment

Since both are equal → the ruler is balanced

Important:

  • If clockwise > anticlockwise → object turns clockwise

  • If anticlockwise > clockwise → object turns anticlockwise

3. Moment of a Force

The moment of a force tells us how strongly a force can rotate an object.

Formula:

Moment=Force × Perpendicular distance

Units:

  • Force → newtons (N)

  • Distance → meters (m)

  • Moment → newton-meters (Nm)

Example:

A door:

  • Pivot = hinges

  • Force = push on the door

Pushing near the hinge → small moment Pushing far from the hinge → large moment

That’s why door handles are far from hinges.

4. Using Moments

The principle of moments is used in many real-life situations:

Everyday examples:

  1. Seesaws – children balance by changing position

  2. Door handles – placed far from hinges

  3. Spanners/Wrenches – longer handle gives more turning effect

  4. Balance scales – used to measure mass

  5. Cranes – prevent toppling by balancing loads

  6. Human body – muscles create moments around joints

In problems:

Moments are used to:

  • Find unknown forces

  • Find unknown distances

  • Check if an object is balanced

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