1. If a mass on a spring and a pendulum have the same period on the moon where the

Question

gravity is about 1/6 of its value on the Earth, which one will run faster on the Earth?
a. The mass on the spring.
b. The pendulum.
c. They will both run the same.
d. It depends on which one has the larger mass.
2. Which of the following quantities is at a maximum when an object in simple harmonic
motion is at its maximum displacement?
a. Velocity
b. Acceleration.
c. Kinetic energy
d. None of the above
3. Suppose there is an object which is subject to a force which follows the relation F = +kx.
What will happen to the object if it is moved away from the equilibrium position (x = 0)
and released?
a. It will remain stationary.
b. It will return to the equilibrium position.
c. It will move farther away with constant velocity.
d. It will move farther away with constant acceleration.
e. It will move farther away with increasing acceleration.
4. The amplitude of an object experiencing simple harmonic motion is doubled. Which of
the following is also doubled?
a. Maximum velocity
b. Total energy
c. Frequency
d. Period
e. Everything associated with the motion will be doubled.
5. A pendulum is made of a very long string with a hollow ball filled with water attached to
the end. The ball and the water have equal masses. There is a small hole in the ball and
water slowly leaks out. What happens to the frequency of the pendulum as the water
leaks?
a. It will double.
b. It will be cut in half.
c. It will increase by a factor of 2 .
d. It will decrease by a factor of 2 .
e. It will stay constant.
6. The kinetic energy and potential energy of an oscillator in simple harmonic motion are
equal to each other when the magnitude of the displacement from the equilibrium
position is what fraction of the total amplitude?
a. 1
b. 1/2
c. 1/3
d. 1/ 2
e. 1/ 3
Problems 7–9 are related to the following scenario:
7. If all the oscillators were driven by a device with a frequency of 4.6 Hz, which of the
oscillators would respond most strongly?
a. A
b. B
c. C
d. D
e. E
8. If one of the oscillators is critically damped, which one is it?
a. A
b. B
c. C
d. D
e. E
We have a collection of 5 different mass/spring combinations that all have different
properties. All of them have some damping and all have the same mass. The properties are
summarized in the table below:
Name Natural Frequency
(cycles/second)
Time for oscillation
to stop
(seconds)
Notes
A 2.0 100 sec.
B 5.0 300 sec.
C 20.0 100 sec.
D — 10 sec. Does not oscillate.
E — 50 sec. Does not oscillate. The
mass and spring are the
same as in D.
9. Which of the oscillators has the weakest damping coefficient?
a. A
b. B
c. C
d. D
e. E

My answers are as follows, just looking for a check
1 d
2 a
3 c
4 a
5 e
6 a
7 c
8 a
9 e