10 questions🇬🇧English
⚖️ Moments – A-level
Maths · A-level — practise taking moments, equilibrium of rods and beams, reaction forces and tilting problems.
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Questions
A 12 N force acts at right angles to a spanner, 0.25 m from the bolt. What is the moment of the force about the bolt?
48 Nm
12.25 Nm
3 Nm
0.75 Nm
20s
What is the SI unit of the moment of a force?
Nm
kg m s⁻¹
N m²
N m⁻¹
20s
A rigid body is in equilibrium. About which points do the clockwise moments equal the anticlockwise moments?
Only about the centre of mass
Only about the pivot
About any point
Only about a point of support
20s
A uniform rod pivots at its midpoint. A 30 N weight hangs 0.4 m left of the pivot. How far right must a 20 N weight hang to balance?
0.6 m
0.27 m
0.4 m
0.8 m
30s
A 20 N force acts at 30° to a rod, at a point 2 m from the pivot. What is the moment of the force about the pivot?
20 Nm
34.6 Nm
10 Nm
40 Nm
30s
A uniform 6 m beam AB of weight 300 N rests on supports at A and B. A 120 N load sits 2 m from A. Find the reaction at B.
150 N
190 N
210 N
230 N
30s
A non-uniform rod AB, 3 m long, rests on supports at A and B. The reaction at A is twice that at B. Where is its centre of mass?
2 m from A
0.5 m from A
1 m from A
1.5 m from A
30s
Uniform plank AB: 6 m, 20 kg, on supports C and D with AC = 1 m, DB = 2 m. How far past D can a 40 kg child stand before it tilts?
0.25 m
0.5 m
2 m
1 m
60s
A uniform ladder rests on rough ground against a smooth wall, at angle θ to the ground with tan θ = 4/3. It is about to slip. Find μ.
2/3
3/5
3/4
3/8
60s
Non-uniform rod AB, 4 m, weight 40 N, on supports at A and C, AC = 3 m. A 20 N load at B makes it about to tilt. Find its centre of mass.
3.5 m from A
2.5 m from A
0.5 m from A
2 m from A
60s