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Pendulum SHM

Total questions: 20

Worksheet time: 16mins

Name
Class
Date
1.
The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulum’s
a)
period.
b)
frequency.
c)
vibration.
d)
amplitude.
2.
For a system in simple harmonic motion, which of the following is the time required to complete a cycle of motion?
a)
amplitude
b)
period
c)
frequency
d)
revolution
3.
How are frequency and period related in simple harmonic motion?
a)
They are directly related.
b)
They are inversely related.
c)
Their sum is constant.
d)
Both measure the number of cycles per unit of time.
4.
By what factor should the length of a simple pendulum be changed in order to triple the period of vibration?
a)
3
b)
6
c)
9
d)
27
5.
Suppose that a pendulum has a period of 4.0 s at Earth’s surface. If the pendulum is taken to the moon, where the acceleration due to gravity is much less than on Earth, will the pendulum’s period increase, decrease, or stay the same? 
a)
Increase
b)
Decrease
c)
Stays the same
d)
Need more information
6.
A certain pendulum with a 1.00 kg bob has a period of 3.50 s. What will happen to the period of the pendulum if the 1.00 kg bob is replaced by a bob with a mass of 2.00 kg?
a)
Increase
b)
Decrease
c)
Stays the same
d)
Need more information
7.
A pendulum's period is initially t.  Changes are made to the system so that the new period is 2t. What may have been changed?
a)
The length of the pendulum was increased by a factor of 2.
b)
The pendulum was moved to a planet with 2 times the mass of Earth.
c)
The length of the pendulum was increased by a factor of 4.
d)
The pendulum was moved to a planet with 4 times the  mass of earth.
8.
Pendulum "A" is on Jupiter Pendulum "B" is on the Moon.  The Moon has less gravity than  Jupiter the pendulums have the same mass and length.  Which Pendulum is moving faster?
a)
A
b)
B
c)
Same
9.
Convert from period to frequency.
4 sec = ______ Hz.
a)
0.25 Hz
b)
0.1 Hz
c)
2 Hz
d)
10 Hz.
10.

A pendulum swinging with a maximum amplitude of π/3 has a period of T. If the maximum amplitude is decreased to π/6, what is the new period of the pendulum?

a)

T/4

b)

T/2

c)

T

d)

2T

11.
Two pendulums are in simple harmonic motion.  Pendulum A is longer than pendulum B.  Pendulum A has a larger mass than B.  The period of pendulum A is
a)
longer than pendulum B
b)
shorter than pendulum B
c)
the same as pendulum B
d)
not enough information
12.
The period of a pendulum may be decreased by
a)
Increasing the mass of the bob
b)
moving the equilibrium point
c)
decreasing the mass of the bob
d)
shortening the length of pendulum
13.

Two pendulums with the same length are swinging. Pendulum A has twice the mass of pendulum B. Which pendulum will have a larger period?

a)

Pendulum A

b)

Pendulum B

c)

They have the same period

d)

They will not a have a period

14.

The number of cycles that are completed per second is called the _________ and is measured in ________.

a)

Amplitude, meters

b)

Frequency, Hz

c)

Wavelength, meters

d)

Period, s

15.

Two pendulums have the same length and the same mass bob. One swings with an amplitude of 15°, while the other swings with an amplitude of 5°. Which has the longer period?

a)

the pendulum with 15° amplitude

b)

the pendulum with 5° amplitude

c)

Neither. They both have the same period.

d)

Need more information.

16.

Two pendulums have the same length and are swinging with the same amplitude. The bob of one pendulum has a mass of 5 kg. The bob of the other pendulum has a mass of 2 kg. Which has the longer period?

a)

the pendulum with the 5 kg bob

b)

the pendulum with the 2 kg bob

c)

Neither. They both have the same period.

d)

Need more information.

17.

Two pendulums have the same mass bob and are swinging with the same small amplitude. One pendulum has a length of 3 m. The other pendulum has a length of 1m. Which has the longer period?

a)

the 3 m long pendulum

b)

the 1 m long pendulum

c)

Neither. They both have the same period.

d)

Need more information.

18.

An astronaut takes a pendulum to Mars. What is the period of the pendulum if it has a length of 3.6 m? (Gravity on Mars: 3.72 m/s^2)

a)

6.39 s

b)

0.157 s

c)

0.161 s

d)

6.18 s

19.

An alien visits Jupiter for the first time and takes a pendulum to measure the planet's gravity. What is the Frequency of the pendulum if it has a length of 0.25 m? (Gravity on Jupiter: 24.79 m/s^2)

a)

62.6 Hz

b)

1.58 Hz

c)

0.016 Hz

d)

6.31 s

20.

Student X attaches an object of mass M to the end of a string of length L so that a simple pendulum is constructed. Student Y attaches an object of mass M to a string of length 4L to construct a second pendulum.

Which of the following claims correctly compares the periods of both pendula?

a)

The period of Student X’s pendulum is the same as the period of Student Y’s pendulum.

b)

The period of Student X’s pendulum is four times the period of Student Y’s pendulum.

c)

The period of Student X’s pendulum is twice the period of Student Y’s pendulum.

d)

The period of Student X’s pendulum is half the period of Student Y’s pendulum.