Moments (AQA GCSE Physics): Revision Notes
Moments
What are moments?
A moment is the turning effect that happens when a force acts at a distance from a pivot point. When you push on a door handle, you create a moment that makes the door rotate around its hinges.
The pivot is the point where an object can rotate or turn. Think of it like the middle point of a seesaw - this is the fixed point around which all rotation happens.
Calculating moments
You can work out the size of a moment using this equation:
Or written as:
- M = moment (measured in newton-metres, Nm)
- F = force (measured in newtons, N)
- d = distance (measured in metres, m)
Critical Rule About Distance
The distance must be measured at right angles (perpendicular) from the pivot to the line of the force. This is called the perpendicular distance.
For example, if you're using a spanner, you measure from the bolt (pivot) straight across to where you apply the force - not along the curve or at an angle.
The principle of moments
When an object is balanced and not rotating, there's a fundamental rule that governs all equilibrium situations:
The Principle of Moments
This means all the turning forces in one direction equal all the turning forces in the other direction.
Working with balanced systems
Understanding how to apply the principle of moments helps solve real-world problems involving levers, seesaws, and other rotating systems.
Worked Example: Balanced Seesaw
Imagine two children on a seesaw:
- Child A: 160N force, sitting 3m from the pivot
- Child B: 240N force, sitting 2m from the pivot
Step 1: Calculate the anticlockwise moment
Step 2: Calculate the clockwise moment
Step 3: Check for balance Since both moments are equal (480 Nm), the seesaw stays balanced and doesn't move.
Finding unknown values
You can use the principle of moments to find missing information. If you know three values in a balanced system, you can calculate the fourth.
Worked Example: Finding Unknown Weight
Problem: A 20N weight is 0.3m from a pivot, and it balances with an unknown weight 0.1m from the pivot. Find the unknown weight.
Step 1: Apply the principle of moments
Step 2: Calculate the moment on the left side
Step 3: Solve for the unknown weight
Key Points to Remember:
- Moments are turning effects caused by forces acting at a distance from a pivot
- Use the formula to calculate moments
- Always measure distance perpendicular to the force direction
- Balanced objects have equal clockwise and anticlockwise moments
- You can use moments to solve problems with seesaws, levers, and other rotating systems