1. 1 A sled on ice moves with friction so small that it can be ignored. A person wearing spiked shoes standing on the ice exerts a force to the sled. The sled is moving toward the left. Which force would slow it down at a steady rate? A The force is toward the right and is increasing in magnitude. B The force is toward the right and is of constant magnitude. C The force is toward the left and is increasing in magnitude. D The force is toward the left and is of constant magnitude. E The force is toward the left and is decreasing in magnitude. 1

2. 2 A piece of wire is stretched by a certain amount and allowed to return to its original length. It is then stretched twice as far (without exceeding the elastic limit). Compared to the first stretching, the second elongation stored A twice as much energy B four times as much C half as much D the same amount E none of these. 2

3. Simple harmonic motion (SHM) is a technical term used to describe a certain kind of idealised oscillation. Practically all the oscillations that one can see directly in the natural world are much more complicated than SHM. Why then do physicists make such a big deal out of studying SHM? AIt is the only kind of oscillation that can be described mathematically. BAny real oscillation can be analysed as a superposition (sum or integral) of SHMs with different frequencies. CPhysics is concerned mainly with the unnatural world. DTo make it easy for students. EIt is good torture for students. 3 3

4. Simple harmonic motion (SHM) is a technical term used to describe a certain kind of idealised oscillation. A simple harmonic oscillation has Afixed frequency and fixed amplitude. Bfixed frequency and variable amplitude. Cvariable frequency and fixed amplitude. Dvariable frequency and variable amplitude. Efixed frequency and fixed wavelength. 4 4

5. 5 Which of the following statements is true of the acceleration of a particle oscillating with SHM? AIt is always in the opposite direction to the velocity of the particle. BIt varies linearly with the frequency of oscillation. CIt has the smallest magnitude when the speed of the particle is greatest. DIt decreases as the potential energy increases. EIt magnitude is a minimum when the displacement of the particle is a maximum. 5

6. 6 A point on a string vibrating sinsusoidally is now at one extreme position. If it takes 2 s for it to move to the other extreme position, what is the period of the wave? A 1 s B 2 s C 4 s D 8 s E 16 s 6

7. A simple harmonic oscillation of a given system can be specified completely by stating its Aamplitude, frequency and initial phase. Bamplitude, frequency and wavelength. Cfrequency and wavelength. Dfrequency, wavelength and initial phase. Eamplitude, frequency, phase. 7 7

8. We can't get very far in talking about SHM without doing a little mathematics, so it its important to be able to recognise some equations which can represent SHM. Only one of the following equations does not represent SHM. Which one is that? A B C D E 8 8

9. 9 Here is a displacement-time graph of an object moving with simple harmonic motion. What is the frequency of the SHM? A0.40 Hz B1.25 Hz C2.50 Hz D5.00 Hz E0.20 Hz 9

10. 10 Here is a displacement-time graph of an object moving with simple harmonic motion. What is the amplitude of the SHM? A2.5 cm B4.0 cm C5.0 cm D8.0 cm E10 cm 10

11. 11 Here is a displacement-time graph of an object which is not moving with simple harmonic motion. But it is still an oscillation and it has a period. What is the period? A0.25 s B0.5 s C0.75 s D1.0 s E2.0 s 11

12. 12 Consider a block hanging from a spring. The system is set vibrating by pulling the block down below its equilibrium position and then letting it go from rest. The frequency of the oscillation is determined by Athe amount of the initial displacement Bthe mass of the block and the properties of the spring Cthe local gravitational field, g Dall of the above Ethe mass of the block,the properties of the spring and g. 12

13. 13 The system was set vibrating by pulling the block down below its equilibrium position and then letting it go from rest. If the initial displacement is doubled what happens to the maximum kinetic energy of the block? A It is unchanged. B It is doubled. C It is increased by a factor of 4. D We can't tell from the information provided. E It is halved. 13

14. 14 Think about whether these two systems are significantly different in other respects and decide which one of the following statements is true. A The systems have different periods because their motions are aligned differently with the gravitational field. B The hanging system has a slightly smaller period because the weight of the spring has to be accounted for. C The hanging system has a slightly larger period because the weight of the spring has to be accounted for. D The two systems have identical periods, no matter what the weight of the spring. E Don't know. 14