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Shm Conceptual Problems

Total questions: 38

Worksheet time: 43mins

Name
Class
Date
1.
A force of  30 N stretches a very light ideal spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?
a)
41 N/m
b)
22 N/m
c)
34 N/m
d)
46 N/m
2.
A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. Determine the period for one complete back and forth cycle.
a)
2 sec
b)
12 sec
c)
8 sec
d)
10 sec
3.
A pendulum is 0.75 meters long and has a period of 4.17 seconds. The Pendulum is on an unknown planet.  What is the gravity of the Unknown Planet?
a)
9.8
b)
3.4
c)
1.7
d)
Greater than 9.8
4.
If the length of a simple pendulum is doubled, its period will: 
a)
halve 
b)
increase by a factor of sqrt(2) 
c)
decrease by a factor of sqrt(2)
d)
double 
5.

From the graph ,the spring constant is.

a)

4.5 m

b)

15 N

c)

20 N/m

d)

200 N/m

6.
A net force of 430 N acts to stretch an extension spring.  How far will the spring stretch if its spring constant is 700 N/m?
a)
43.9
b)
0.307 m
c)
1.63 m
d)
0.614 m
7.
What force should be applied to compress a spring by 0.013 m if its spring constant is k = 1900 N/m?
a)
1880 N
b)
24.7 N
c)
1900 N
d)
0.127 N
8.
What is the equation for frequency?
a)
f = t/n
b)
f = 1/T
c)
f = 2 T
9.
A mass-spring system can oscillate with simple harmonic motion because a compressed or stretched spring has which kind of energy?
a)
kinetic
b)
mechanical
c)
gravitational potential
d)
elastic potential
10.
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
11.
For a system in simple harmonic motion, which of the following is the number of cycles or vibrations per unit of time?
a)
amplitude
b)
period
c)
frequency
d)
revolution
12.
What is the period on Earth of a pendulum with a length of 2.4 m?
a)
3.1 sec
b)
1.9 sec
c)
9.3 sec
d)
5.1 sec
13.

Based on your findings, which equation could best describe the pendulum’s period?

a)

A

b)

B

c)

C

d)

D

14.
If a force of 20 N stretches a spring 0.5 m, what is the spring constant?
a)
10 N/m
b)
20 N/m
c)
40 N/cm
d)
40 N/m
15.
A 550 kg mass is in simple harmonic motion on a spring, solve for the displacement if the spring constant value for the spring is 98100 N/m and the restoring force is -981 N.  
a)
100 m
b)
.01 m
c)
9.62 x 108 m
16.
A simple harmonic oscillator takes 4.8 s to undergo five complete vibrations. What is the frequency of 1cycle? 
a)
1.04 s
b)
4.8 s
c)
1/4.8 s
17.
A simple harmonic oscillator takes 4.8 s to undergo five complete vibrations. What is the period (T) of 1 cycle?
a)
4.8 s
b)
.96 s
c)
9.8 s
18.
What is the frequency of a pendulum that has a period of 10 s?
a)
10 Hz
b)
1/1000 Hz
c)
.1 Hz
19.
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
20.
In any system in SHM, the restoring force acting on the mass in the system is proportional to
a)
the displacement
b)
the length of the pendulum
c)
the mass
d)
the frequency
21.
A mass attached to a spring vibrates back and forth. At the equilibrium position, the
a)
acceleration reaches a maximum.
b)
velocity reaches a maximum.
c)
net force reaches a maximum.
d)
velocity reaches zero.
22.
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
23.
A mass is hung from a spring and set into vertical oscillation.
Which row in the table correctly shows the kinetic energy Ek of the mass at maximum displacement and the potential energy Ep of the mass at the equilibrium position?
a)
A
b)
B
c)
C
d)
D
24.
Which position shows the spring with maximum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
25.

Which would have the longest period?

Pendulum A: A 200-g mass attached to a 1.0-m length string

Pendulum B: A 400-g mass attached to a 0.5-m length string

a)

A

b)

B

c)

Same

26.

In any system in simple harmonic motion, the restoring force acting on

the mass in the system is proportional to

a)

displacement.

b)

the length of a pendulum

c)

the mass

d)

frequency.

27.

In an oscillating mass-spring system, the velocity of the mass is greatest when the mass is

a)

at the point of maximum displacement

b)

halfway between the equilibrium point and maximum displacement

c)

at the point where acceleration is greatest.

d)

at the equilibrium point

28.

The period of a pendulum may be decreased by

a)

shortening its length.

b)

increasing the mass of the bob

c)

moving its equilibrium point

d)

decreasing the mass of the bob

29.

As the swinging bob of a pendulum moves farther from its equilibrium

position, the pendulum’s _______________ increases

a)

frequency

b)

mass

c)

restoring force

d)

length

30.

The gravitational potential energy of the bob of a swinging pendulum is

at its maximum when the bob is at

a)

maximum displacement

b)

the equilibrium point

c)

the center of its swing

d)

minimum displacement

31.

Stretching a spring increases its ______________ energy

a)

mechanical kinetic

b)

gravitational potential

c)

vibrational kinetic

d)

elastic potential

32.
If the length of a simple pendulum is doubled, its period will: 
a)
halve 
b)
increase by a factor of sqrt(2) 
c)
decrease by a factor of sqrt(2)
d)
double 
33.

Which of the following is/ are characteristics of simple harmonic motion?

I. The acceleration is constant .

II. The restoring force is proportional to the displacement.

III. The frequency is independent of the amplitude.

a)

II only

b)

I and II only

c)

I and III only

d)

II and III only

e)

I, II, and III

34.
What is the only thing that increases the period of a pendulum?
a)
increase the length of the pendulum
b)
decrease the length of the pendulum
c)
increase the weight of the pendulum bulb
d)
decrease the weight of the pendulum bulb
35.
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.
36.
An object attached to an ideal spring executes simple harmonic motion. If you want to double its total energy, you could
a)
double the amplitude of vibration
b)
double the force constant (spring constant) of the spring
c)
double both the amplitude and force constant (spring constant).
d)
double the mass
37.
An object is attached to a vertical spring and bobs up and down between points A and B.  Where is the object located when its kinetic energy is a minimum?
a)
at either A or B
b)
midway between A and B
c)
one-third of the way between A and B
d)
one-fourth of the way between A and B
38.
The time period of oscillation of a simple pendulum of length l is the same as the time period of oscillation of a mass M attached to a vertical spring. The length and mass are then changed.
Which row, A to D, in the table would give a simple pendulum with a time period twice that of the spring oscillations? 
a)
A
b)
B
c)
C
d)
D

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