Knowledge Organiser: Moments and Levers
Key Terms
- Moment: Turning effect of a force (Nm)
- Pivot/fulcrum: Fixed rotation point
- Equilibrium: Zero resultant force and moment
- Lever: Simple machine using pivot to multiply force
Key Facts
- Larger distance from pivot = larger moment
- Principle of moments: CW moments = ACW moments (in balance)
- Levers trade force for distance (energy conserved)
- Weight acts through centre of mass
Key Equations
- M = F × d (perpendicular distance)
- For balance: Sum CW = Sum ACW
- Units: Moment in Nm, force in N, distance in m
Exam Tips
- Always use perpendicular distance
- Use W = mg to find weights first
- State "principle of moments" in 3+ mark questions
- Centre of mass for uniform object = geometric centre
Common Mistakes
- Using slant distance instead of perpendicular distance: The distance in M = F × d must be the perpendicular distance from the pivot to the line of action of the force — not the length of the lever arm
- Forgetting to convert weight: Convert mass to weight (W = m × g) before using in moment calculations — do not use kg values in the moment equation
- Not stating the principle of moments: For 3+ mark balance questions, always state "sum of clockwise moments = sum of anticlockwise moments about the pivot"
- Confusing moment and force: A larger force does not always produce a larger moment — a small force at a large distance can produce a bigger moment than a large force close to the pivot
- Placing centre of mass wrongly for irregular shapes: Centre of mass is found by suspension method (hanging from different points) — it is not always at the geometric centre for irregular objects
Memory Aid
- M = Fd — "MOMENT = FORCE × DISTANCE":
- Think of opening a door: you always push near the edge (far from pivot/hinges), not near the hinge. Maximum distance = maximum moment = easiest to open. Pushing near the hinge would be terrible — tiny distance, tiny moment.
- Clockwise vs Anticlockwise — use a clock face: Imagine the object as a clock. Which way would the force rotate it — the same direction as clock hands (clockwise) or opposite (anticlockwise)? Label moments accordingly.
- Principle of moments shortcut: "Clock = Anti-Clock" — the clockwise moments must equal the anticlockwise moments for balance.