Question 1

Which statement about a couple is not true?

  A  

it must consist of coplanar forces

  B  

it can produce rotational motion

  C  

it can produce translational motion

  D  

it has a moment with units N m


0

/

1

Question 2

A non-uniform sign is 0.80 m long and has a weight of 18 N.

It is suspended from two vertical springs P and Q. The springs obey Hooke’s law and the spring constant of each spring is 240 N m−1

The top end of spring P is fixed and the top end of spring Q is adjusted until the sign is horizontal and in equilibrium.

What is the extension of spring Q?

  A  

0.014 m

  B  

0.038 m

  C  

0.049 m

  D  

0.061 m

0

/

1

Question 3

The diagram shows a uniform metre ruler of weight 1.5 N pivoted 15 cm from one end for use as a simple balance.

A scale pan of weight 0.5 N is placed at the end of the ruler and an object of unknown weight is placed in the pan. The ruler moves to a steady horizontal position when a weight of 2.5 N is added at a distance of 60 cm from the pivot as shown.

What is the weight of the object?

  A  

9.5 N

  B  

10.0 N

  C  

13.0 N

  D  

13.5 N

0

/

1

Question 4

The diagram below shows a rotating steam generator.

The steam ejected from the nozzles provides a couple. The force at each nozzle is 0.12 N. The perpendicular distance between the nozzles is 8.2 × 10–2 m.

What is the work done by the forces as the steam generator completes one revolution?

  A  

0 J

  B  

9.8 × 10–3 J

  C  

3.1 × 10–2 J

  D  

6.2 × 10–2 J

0

/

1

Question 5

A rigid L-shaped lever arm is pivoted at point P.

Three forces act on the lever arm, as shown in the diagram.

What is the magnitude of the resultant moment of these forces about point P?

  A  

15 N m

  B  

20 N m

  C  

35 N m

  D  

75 N m

0

/

1

Question 6

A uniform metre rule of mass 100 g is supported by a pivot at the 40 cm mark and a string at the 100cm mark. The string passes round a frictionless pulley and carries a mass of 20g as shown in the diagram.

At which mark on the rule must a 50g mass be suspended so that the rule balances?


  A  

4cm

  B  

36cm

  C  

44cm

  D  

64cm

0

/

1

Question 7

The diagram shows a child’s balancing game.

The wooden rod is uniform and all the rings are of equal mass. Two rings are hung on peg 13 and one on peg 1.

On which hook must a fourth ring be hung in order to balance the rod?

  A  

2

  B  

3

  C  

5

  D  

6

0

/

1

Question 8

A spindle is attached at one end to the centre of a lever of length 1.20m and at its other end to the centre of a disc of radius 0.20 m. A string is wrapped round the disc, passes over a pulley and is attached to a 900N weight.

What is the minimum force F, applied to each end of the lever, that could lift the weight?

  A  

75N

  B  

150N

  C  

300N

  D  

950N

0

/

1

Question 9

A uniform rod of length 200 cm is freely pivoted at point P. The rod is held horizontally in equilibrium by a 60 N weight that is attached to the rod by a string passing over a frictionless pulley.

What is the weight of the rod?

  A  

30 N

  B  

60 N

  C  

80 N

  D  

140 N

0

/

1