Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-FM-RB-G012 marksL1 FoundationNon-calculatorConditions

A uniform rod

AB

of length

4

m and weight

60

N rests horizontally on supports at

A

and

B

. Find the reaction at

B

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-Q011 markL1 FoundationNon-calculatorConditions

For a rigid body in equilibrium under coplanar forces you need

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-X011 markL1 FoundationNon-calculatorConditions

A uniform rod of weight

40

N is hinged at one end and held horizontal by a vertical string at the other. Find the tension.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-X021 markL1 FoundationNon-calculatorConditions

A uniform

6

m beam of weight

120

N rests on supports at

1

m and

5

m from one end. Find the reaction at the first support.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-0012 marksL2 StandardNon-calculatorConditions

The same rod has a

40

N load at

3

m from

A

. Find the reaction at

B

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-X032 marksL2 StandardNon-calculatorConditions

60

N load is placed on that beam directly above the second support (at

5

m). Find the new reaction at the second support.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-X042 marksL2 StandardCalculatorLadders

A uniform ladder rests against a smooth wall at

70^\circ

to rough ground and is about to slip. Find

\mu

(3 s.f.).

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SA-FM-RB-X061 markL2 StandardNon-calculatorConditions

A rigid body is in equilibrium under exactly three non-parallel forces. Their lines of action must

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-0023 marksL3 ExamCalculatorLadders

A uniform ladder rests against a smooth vertical wall at

60^\circ

to rough horizontal ground and is about to slip. Find

\mu

(3 s.f.).

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-0033 marksL3 ExamCalculatorLadders

A uniform ladder on rough ground (

\mu=0.5

) rests against a smooth wall. Find the smallest angle (degrees) with the ground for equilibrium.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-X052 marksL3 ExamCalculatorConditions

A uniform block

4

m wide and

6

m tall rests on a rough plane (

\mu=0.5

) that is slowly tilted. Find the angle in degrees at which it first moves.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-RB-0043 marksL4 ChallengingCalculatorConditions

A uniform cube rests on a rough plane (

\mu=0.8

) that is slowly tilted. Will it slide or topple first? Enter the angle (degrees) at which it first moves.

Salam Academy Original Practice · Proposed mark scheme