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-CL-G012 marksL1 FoundationNon-calculatorParticles

Masses of

2

kg and

6

kg are at

x=0

and

x=4

. Find

\bar x

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-Q011 markL1 FoundationNon-calculatorSuspension

A lamina hangs freely from a point

A

. In equilibrium,

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-X012 marksL1 FoundationNon-calculatorParticles

Masses of

1

2

and

3

kg are at

x=0

1

and

2

. Find

\bar x

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-X041 markL1 FoundationNon-calculatorComposite laminas

Find

\bar y

for a uniform triangular lamina with vertices

(0,0)

(6,0)

(0,3)

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-0012 marksL2 StandardNon-calculatorParticles

Masses

2

3

5

kg at

(0,0)

(4,0)

(2,6)

. Find

\bar x

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-0023 marksL2 StandardNon-calculatorComposite laminas

An L-shape is made from a

4\times2

rectangle occupying

0\le x\le4

0\le y\le2

and a

2\times2

square occupying

0\le x\le2

2\le y\le4

. Find

\bar x

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-0041 markL2 StandardNon-calculatorComposite laminas

A uniform triangular lamina has height

9

cm above its base. How far above the base is its centre of mass?

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-X022 marksL2 StandardNon-calculatorComposite laminas

A lamina is made of a

3\times2

rectangle (

0\le x\le3

) and a

2\times1

rectangle (

3\le x\le5

), both with the same density. Find

\bar x

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-X032 marksL2 StandardNon-calculatorComposite laminas

Find the distance of the centre of mass of a uniform semicircular lamina of radius

6

from its straight edge.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-X052 marksL2 StandardCalculatorSuspension

That triangular lamina (centre of mass

(2,1)

) hangs freely from

O

. Find, in degrees, the angle between the edge along the

x

-axis and the vertical.

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-0033 marksL3 ExamNon-calculatorComposite laminas

A uniform

6\times4

rectangle (

0\le x\le6

0\le y\le4

) has a

2\times2

square removed from

4\le x\le6

0\le y\le2

. Find

\bar x

Salam Academy Original Practice · Proposed mark scheme

SA-FM-CL-0052 marksL3 ExamCalculatorSuspension

A lamina with centre of mass at

(2.2,3)

relative to corner

O

hangs freely from

O

. Find, in degrees, the angle between the edge along the

y

-axis and the vertical.

Salam Academy Original Practice · Proposed mark scheme