AP Physics    Chapter 15 Review Sheet

1.	In simple harmonic motion, the restoring force must be proportional to the: 	
A)	amplitude 	
B)	frequency 	
C)	velocity 	
D)	displacement 	
E)	displacement squared 	

2.	In simple harmonic motion, the magnitude of the acceleration is: 	
A)	constant 	
B)	proportional to the displacement 	
C)	inversely proportional to the displacement 	
D)	greatest when the velocity is greatest 	
E)	never greater than g 	

3.	A particle moves back and forth along the x axis from x = –xm to x = +xm, in simple harmonic motion with period T. At time t = 0 it is at x = +xm. When t = 0.75T:	
A)	it is at x = 0 and is traveling toward x = +xm	
B)	it is at x = 0 and is traveling toward x = –xm	
C)	it is at x = +xm and is at rest	
D)	it is between x = 0 and x = +xm and is traveling toward x = –xm	
E)	it is between x = 0 and x = –xm and is traveling toward x = –xm	

4.	An object is undergoing simple harmonic motion. Throughout a complete cycle it: 	
A)	has constant speed 	
B)	has varying amplitude 	
C)	has varying period 	
D)	has varying acceleration 	
E)	has varying mass 	

5.	A particle is in simple harmonic motion with period T.  At time t=0 it is halfway between the equilibrium point and an end point of its motion, travelling toward the end point.  The next time it is at the same place is:	
A)	t = T	
B)	t = T/2	
C)	t = T/4	
D)	t = T/8	
E)	none of the above	

6.	An object attached to one end of a spring makes 20 vibrations in 10 seconds. Its frequency is: 	
A)	2 Hz 	
B)	10 s 	
C)	0.05 Hz 	
D)	2 s 	
E)	0.50 s 	

7.	Frequency f and angular frequency w are related by 	
A)	f = pw 	
B)	f = 2pw 	
C)	f = w/p 	
D)	f = w/2p 	
E)	f = 2w/p 	

8.	A weight suspended from an ideal spring oscillates up and down with a period T. If the amplitude of the oscillation is doubled, the period will be:	
A)	T	
B)	1.5 T 	
C)	2T	
D)	T/2	
E)	4T 	

9.	In simple harmonic motion, the displacement is maximum when the: 	
A)	acceleration is zero 	
B)	velocity is maximum 	
C)	velocity is zero 	
D)	kinetic energy is maximum 	
E)	momentum is maximum 	

10.	The amplitude and phase constant of an oscillator are determined by: 	
A)	the frequency 	
B)	the angular frequency 	
C)	the initial displacement alone 	
D)	the initial velocity alone 	
E)	both the initial displacement and velocity 	

11.	The amplitude of any oscillator can be doubled by: 	
A)	doubling only the initial displacement 	
B)	doubling only the initial speed 	
C)	doubling the initial displacement and halving the initial speed 	
D)	doubling the initial speed and halving the initial displacement 	
E)	doubling both the initial displacement and the initial speed 	

12.	The acceleration of a body executing simple harmonic motion leads the velocity by what phase? 	
A)	0 	
B)	p/8 rad 	
C)	p/4 rad 	
D)	p/2 rad 	
E)	p rad 	

13.	The displacement of an object oscillating on a spring is given by x(t) = xmcos(w t + f ). If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant f  is between: 	
A)	0 and p/2 radians 	
B)	p/2 and p radians 	
C)	p and 3p/2 radians 	
D)	3p/2 and 2p radians 	
E)	none of the above (f  is exactly 0, p/2, p, or 3p/2 radians) 	

14.	An object of mass m, oscillating on the end of a spring with spring constant k has amplitude A. Its maximum speed is:	
A)	 	
B)	A2k/m	
C)	 	
D)	Am/k	
E)	A2m/k	

15.	A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k.  The particle oscillates as shown in (i) with period T.  If the spring is cut in half and used with the same particle, as shown in (ii), the period will be:

A)	2T	
B)	 	
C)	 	
D)	T	
E)	T/2	

16.	A 3-kg block, attached to a spring, executes simple harmonic motion according to 
x = 2cos(50t) where x is in meters and t is in seconds. The spring constant of the spring is: 	
A)	1 N/m 	
B)	100 N/m 	
C)	150 N/m 	
D)	7500 N/m 	
E)	none of these 	

17.	A particle is in simple harmonic motion along the x axis. The amplitude of the motion is xm. At one point in its motion its kinetic energy is K = 5J and its potential energy (measured with U = 0 at x = 0) is U = 3J. When it is at x = xm, the kinetic and potential energies are:	
A)	K = 5J and U = 3J	
B)	K = 5J and U = –3J	
C)	K = 8J and U = 0	
D)	K = 0 and U = 8J	
E)	K = 0 and U = –8J	

18.	A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the system has an energy of 6.0 J, then the amplitude of the oscillation is: 	
A)	0.06 m 	
B)	0.17 m 	
C)	0.24 m 	
D)	4.9 m 	
E)	6.9 m 	

19.	A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is: 	
A)	0.13 m/s 	
B)	0.18 m/s 	
C)	3.7 m/s 	
D)	5.2 m/s 	
E)	13 m/s 	

20.	An object on the end of a spring is set into oscillation by giving it an initial velocity while it is at its equilibrium position. In the first trial the initial velocity is v0 and in the second it is 4v0. In the second trial: 	
A)	the amplitude is half as great and the maximum acceleration is twice as great 	
B)	the amplitude is twice as great and the maximum acceleration is half as great 	
C)	both the amplitude and the maximum acceleration are twice as great 	
D)	both the amplitude and the maximum acceleration are four times as great 	
E)	the amplitude is four times as great and the maximum acceleration is twice as great 	

21.	A mass-spring system is oscillating with amplitude A. The kinetic energy will equal the potential energy only when the displacement is 	
A)	zero 	
B)	± A/4 	
C)	 	
D)	± A/2 	
E)	anywhere between –A and +A 	

22.	The period of a simple pendulum is 1 s on Earth. When brought to a planet where g is one-tenth that on Earth, its period becomes:	
A)	1 s 	
B)	 	
C)	1/10 s	
D)	 	
E)	10 s	

23.	A simple pendulum of length L and mass M has frequency f.  To increase its frequency to 2f:	
A)	increase its length by length to 4L 	
B)	increase its length by length to 2L 	
C)	decrease its length by length to L/2 	
D)	decrease its length by length to L/ 4 	
E)	decrease its mass by length to < M/4 	

24.	A simple pendulum has length L and period T. As it passes through its equilibrium position, the string is suddenly clamped at its mid-point. The period then becomes: 	
A)	2T 	
B)	T 	
C)	T/2 	
D)	T/4 	
E)	none of the above 	

25.	Three physical pendulums, with masses m1, m2 = 2m1, and m3 = 3m1, have the same shape and size and are suspended at the same point. Rank them according to their periods, from shortest to longest.	
A)	1, 2, 3	
B)	3, 2, 1	
C)	2, 3, 1	
D)	2, 1, 3	
E)	All the above are the same	

26.	A meter stick is pivoted at a point a distance a from its center and swings as a physical pendulum. Of the following values for a, which results in the shortest period of oscillation?	
A)	a = 0.1 m	
B)	a = 0.2 m	
C)	a = 0.3 m	
D)	a = 0.4 m	
E)	a = 0.5 m	

27.	Two uniform spheres are pivoted on horizontal axes that are tangent to their surfaces. The one with the longer period of oscillation is the one with: 	
A)	the larger mass 	
B)	the smaller mass 	
C)	the larger rotational inertia 	
D)	the smaller rotational inertia 	
E)	the larger radius 	

28.	Both the x and y coordinates of a point execute simple harmonic motion. The frequencies are the same but the amplitudes are different. The resulting orbit might be: 	
A)	an ellipse 	
B)	a circle 	
C)	a parabola 	
D)	a hyperbola 	
E)	a square	

29.	Five particles undergo damped harmonic motion. Values for the spring constant k, the damping constant b, and the mass m are given below. Which leads to the smallest rate of loss of mechanical energy?	
A)	k = 100N/m, m = 50g, b = 8g/s	
B)	k = 150N/m, m = 50g, b = 5g/s	
C)	k = 150N/m, m = 10g, b = 8g/s	
D)	k = 200N/m, m = 8g, b = 6g/s	
E)	k = 100N/m, m = 2g, b = 4g/s	

30.	A sinusoidal force with a given amplitude is applied to an oscillator. At resonance the amplitude of the oscillation is limited by: 	
A)	the damping force 	
B)	the initial amplitude 	
C)	the initial velocity 	
D)	the force of gravity 	
E)	none of the above 	

31.	A block on a spring is subjected to a damping force that is proportional to its velocity and to an applied sinuoidal force. The energy dissipated by damping is supplied by:	
A)	the potential energy of the spring	
B)	the kinetic of the mass	
C)	gravity	
D)	friction	
E)	the applied force	

Answer Key

1.	D	
2.	B	
3.	A	
4.	D	
5.	E	
6.	A	
7.	D	
8.	A	
9.	C	
10.	E	
11.	E	
12.	D	
13.	B	
14.	A	
15.	C	
16.	D	
17.	D	
18.	C	
19.	D	
20.	C	
21.	C	
22.	D	
23.	D	
24.	E	
25.	E	
26.	C	
27.	E	
28.	A	
29.	B	
30.	A	
31.	E