A-level · Moments

Equilibrium of rigid bodiesExam-style questions

A rigid body in equilibrium needs both zero resultant force and zero resultant moment — using these two conditions to find the reaction forces on a supported beam, and taking moments about a support to eliminate an unknown.

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22 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
A uniform beam $AB$ of length $6$ m and weight $200$ N rests on supports at $A$ and $B$ . Find the reactions at $A$ and $B$ .
Level 2 · 2 marksTry it
2
A uniform beam $AB$ of length $4$ m and weight $120$ N rests on supports at $A$ and at $C$ , where $AC = 3$ m. Find the reactions at $A$ and $C$ .
Level 3 · 3 marksTry it
3
A uniform plank $AB$ of length $5$ m and weight $300$ N rests on supports at $A$ and $B$ . A child of weight $400$ N stands $1$ m from $A$ . Find the reactions at $A$ and $B$ .
Level 3 · 3 marksTry it
4
A uniform beam $AB$ of length $8$ m and weight $160$ N rests on supports at $A$ and at $B'$ , where $AB' = 6$ m. Find the reactions at $A$ and $B'$ , to 3 s.f.
Level 3 · 3 marksTry it
5
A uniform beam $AB$ of length $6$ m and weight $100$ N rests on supports at $A$ and $B$ . Loads of $50$ N and $80$ N hang at $2$ m and $4$ m from $A$ . Find the reactions at $A$ and $B$ .
Level 3 · 3 marksTry it

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