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Spring Oscillation

Total questions: 26

Worksheet time: 19mins

Name
Class
Date
1.

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.

2.
For a system in simple harmonic motion, which of the following is the number of cycles or vibrations in one second?
a)
amplitude
b)
period
c)
frequency
d)
revolution
3.
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
4.
Which position shows the spring with maximum kinetic energy?
a)
A
b)
B
c)
C
d)
D
5.
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
6.
Which position shows the spring with maximum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
7.

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.

8.

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

9.

Stretching a spring increases its ______________ energy

a)

mechanical kinetic

b)

gravitational potential

c)

vibrational kinetic

d)

elastic potential

10.

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

11.
A mass-spring system is set into simple harmonic motion. Which graph shows the variation of the acceleration, a, of the mass with its displacement, x? 
a)
A
b)
B
c)
C
d)
D
12.
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.
13.

Define amplitude.

a)

maximum displacement from equlibrium position

b)

total displacement

c)

maximum distance from where the object is released

14.
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
15.
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
16.
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 maximum?
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
17.
The diagram shows a velocity-time graph for a mass moving up and down on the end of a spring. Which point represents the velocity of the mass when at the lowest point of its motion? 
a)
A
b)
B
c)
C
d)
D
18.
A mass M hangs in equilibrium on a spring. M is made to oscillate about the equilibrium position by pulling it down 10 cm and releasing it. The time for M to travel back to the equilibrium position for the first time is 0.50 s. Which row, A to D, in the table is correct for these oscillations? 
a)
A
b)
B
c)
C
d)
D
19.
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
20.

The curve that represents the free undamped oscillations is

a)
b)
c)
21.

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)

The Same

22.

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

23.

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

24.

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

25.

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

26.

Which equation could best describe the pendulum’s period?

a)

A

b)

B

c)

C

d)

D

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