Practise questions · Salam Academy

SA-9709-P4-FE-0032 marksL1 FoundationCalculatorEquilibrium

A particle is in equilibrium under three forces:

8

N due east,

6

N due north and a third force

F

. Find the magnitude of

F

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE-0102 marksL1 FoundationCalculatorEquilibrium

A particle is in equilibrium under forces of

5

N due east,

12

N due north, and a third force. Find the magnitude of the third force.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0013 marksL1 FoundationCalculatorEquilibrium

A particle is in equilibrium under the forces

(4\mathbf i+7\mathbf j)

N,

(-6\mathbf i+2\mathbf j)

N and

\mathbf F

. Find the magnitude of

\mathbf F

, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0091 markL1 FoundationCalculatorEquilibrium

A particle is in equilibrium. Which statement must be true?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE-0024 marksL2 StandardCalculatorEquilibrium

A particle of weight

20

N hangs on a string that makes an angle

\alpha

with the vertical. It is held in equilibrium by a horizontal force

P

N. The tension in the string is

25

N. Find

\alpha

(degrees, 1 d.p.) and

P

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0024 marksL2 StandardCalculatorEquilibrium

A particle of weight

30

N hangs on a light string. It is held aside by a horizontal force of

16

N and rests in equilibrium. Find the tension in the string and the angle the string makes with the vertical (1 d.p.).

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0043 marksL2 StandardCalculatorTwo strings

A particle of mass

8

kg hangs from two light strings, each making an angle of

20^\circ

with the vertical. Find the tension in each string, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0054 marksL2 StandardCalculatorEquilibrium

A particle is in equilibrium under three forces:

P

N due east,

Q

N due north, and

10

N in the direction

30^\circ

south of west. Find

P

(3 s.f.) and

Q

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0062 marksL2 StandardCalculatorEquilibrium

Two forces of

12

N act on a particle, with an angle of

120^\circ

between them. A third force keeps the particle in equilibrium. Find its magnitude.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0073 marksL2 StandardCalculatorTwo strings

A particle hangs in equilibrium from two light strings, each with tension

30

N and each making

40^\circ

with the horizontal. Find the mass of the particle, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0036 marksL3 ExamCalculatorTwo strings

A particle of mass

5

kg hangs in equilibrium from two light strings. One string makes

30^\circ

with the horizontal and has tension

T_1

N; the other makes

60^\circ

with the horizontal and has tension

T_2

N. Find

T_1

and

T_2

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE2-0084 marksL3 ExamCalculatorEquilibrium

A particle of weight

20

N hangs on a light string. It is held in equilibrium by a force

P

N acting at right angles to the string, so that the string makes

30^\circ

with the vertical. Find

P

and the tension (3 s.f.).

Salam Academy Original Practice · Proposed mark scheme

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