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- 1. Multiple Choice
A bird sits on a uniform rod suspended from vertical wires P and Q.
The rod has a weight W and is 15.0 cm long. The weight of the bird is 2W and acts at a distance x from P.
What is the value of x when the tension in P is half the tension in Q?
7.50 cm
10.0 cm
11.3 cm
15.0 cm
- 2. Multiple Choice
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?
0.014 m
0.038 m
0.049 m
0.061 m
- 3. Multiple Choice
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?
9.5 N
10.0 N
13.0 N
13.5 N
- 4. Multiple Choice
A light uniform rigid bar is pivoted at its centre. Forces act on the bar at its ends and at the centre.
Which diagram shows the bar in equilibrium?
- 5. Multiple Choice
A car bonnet, represented by QP, of mass 12 kg is pivoted at P. Its weight acts at G where QG = GP = 1.0 m.
What force, F, acting perpendicular to QP as shown, is required to hold the bonnet at 30° to the horizontal?
29 N
51 N
59 N
136 N
- 6. Multiple Choice
A body of mass 4 kg falls vertically through the air.
What is the acceleration of the body when the magnitude of the air resistance is 30 N?
17.3 m s−2
7.7 m s−2
2.3 m s−2
.4 m s−2
- 7. Multiple Choice
A car wheel nut can be loosened by applying a force of 200 N on the end of a bar of length 0.8 m as in X. A car mechanic is capable of applying forces of 500 N simultaneously in opposite directions on the ends of a wheel wrench as in Y.
What is the minimum length l of the wrench which would be needed for him to loosen the nut?
0.16 m
0.32 m
0.48 m
0.64 m
- 8. Multiple Choice
Four rectangular loops of wire A, B, C and D are each placed in a uniform magnetic field of the same flux density B. The direction of the magnetic field is parallel to the plane of the loops as shown.
When a current of 1 A is passed through each of the loops, magnetic forces act on them. The lengths of the sides of the loops are as shown. Which loop experiences the largest couple?
- 9. Multiple Choice
The diagram shows a vertical square coil whose plane is at right angles to a horizontal uniform magnetic field B. A current, I, is passed through the coil, which is free to rotate about a vertical axis OO'.
Which one of the following statements is correct?
The forces on the two vertical sides of the coil are equal and opposite.
A couple acts on the coil.
No forces act on the horizontal sides of the coil.
If the coil is turned through a small angle about OO' and released, it will remain in position.
- 10. Multiple Choice
Which line, A to D, in the table shows correctly whether the moment of a force, and momentum, are scalar or vector quantities?
A
B
C
D
- 11. Multiple Choice
In the system shown a light rigid beam, pivoted at X, is held in position by a string which is fixed at Y. The beam carries a load of 200 N. The load is moved towards X. Which one of the following statements is correct?
The tension in the string increases
The compression force in the beam increases
The moment of the load about X increases
The magnitude of the vertical component of the reaction at X increases
- 12. Multiple Choice
A uniform square block is sliding with uniform speed along a rough surface as shown in the diagram.
The force used to move the block is 200 N. The moment of the frictional force acting on the block about the centre of gravity of the block is
150 N m, clockwise
150 N m, anticlockwise
300 N m, clockwise
300 N m, anticlockwise
- 13. Multiple Choice
The rectangular objects, A, B, C and D are each 2 cm long and 1 cm high. Which one of the bodies is in equilibrium?
A
B
C
D
- 14. Multiple Choice
The diagram shows a uniform door hanging from two hinges 2.5 m apart.
The moment of the couple that the hinges exert on the door is
150 N m
200 N m
250 N m
500 N m
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