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Simple Harmonic Motion (AP1)

Total questions: 23

Worksheet time: 23mins

Name
Class
Date
1.

When is the pendulum at maximum velocity

a)

At its lowest point

b)

At its highest point

c)

It moves at a constant velocity

d)

It is at rest

2.

The number of cycles or oscillation made in one second is defined as

a)

time taken

b)

period

c)

frequency

d)

amplitude

3.
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
4.
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
5.
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
6.
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 
7.
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
8.

The maximum velocity occurs where the ____.


a)

potential energy is a maximum


b)

kinetic energy is a minimum


c)

displacement from equilibrium is equal to

the amplitude of 0.4 𝑚

d)

displacement from equilibrium is equal to

zero

9.

An object of mass 𝑚 is attached to a horizontal spring, stretched to a displacement 𝐴 from equilibrium and released, undergoing harmonic oscillations on a frictionless surface with period 𝑇 . The experiment is then repeated with a mass of 4𝑚. What’s the new period of oscillation?

a)

2T

b)

T

c)

4T

d)

T√2

10.

The variation of the acceleration, a of a particle executing SHM with displacement, x is as shown in figure:

a)
b)
c)
d)
11.
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
12.

In SHM , at the equilibrium point , the

_________________ is a maximum, and

_________________ a minimum

a)

displacement / velocity

b)

displacement AND acceleration / velocity

c)

velocity / displacement

d)

velocity/ displacement AND acceleration

13.

A pendulum oscillates as shown. At which of the following positions is the kinetic energy equal to the total energy?

a)

A

b)

B

c)

C

d)

Not enough information given.

14.

The graph shows the variation with time of the displacement of an object undergoing simple harmonic motion. At which of the following time values is kinetic energy zero?

a)

0 ms

b)

40 ms

c)

80 ms

d)

100 ms

15.

Which of the following graphs correctly represents the total mechanical energy of this spring-mass system? Assume no damping.

a)
b)
c)
d)
16.
Which of the following is not an example of SHM?
a)
A simple pendulum
b)
A vibrating spring
c)
A marble on a concave surface
d)
Bouncing on a trampoline
17.

What is the period for this waveform?

a)

2 s

b)

1 s

c)

4 s

d)

0.75 s

18.
Which position shows the spring with maximum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
19.

If you were to increase the gravitational acceleration acting on a pendulum, what would happen to the period of the pendulum?

a)

The period would increase.

b)

The period would decrease.

c)

The period would stay the same.

d)

Cannot determine this information.

20.

If you were to increase the mass of the object on a spring, what would happen to the period of the mass on the spring?

a)

The period would increase.

b)

The period would decrease.

c)

The period would stay the same.

d)

Cannot determine this information.

21.

If you were to increase the spring constant of a spring, what would happen to the period of the mass on the spring?

a)

The period would increase.

b)

The period would decrease.

c)

The period would stay the same.

d)

Cannot determine this information.

22.

The graph shows the variation of displacement d with time t for a particle moving with simple harmonic motion of period T.


Which graph shows the variation of kinetic energy Ek of the particle with time?

a)
b)
c)
d)
23.

For a body performing simple harmonic motion, which one of the following statements is correct?

a)

The maximum kinetic energy is directly proportional to the frequency.

b)

The time for one oscillation is directly proportional to the frequency.

c)

The speed at any instant is directly proportional to the displacement.

d)

The maximum acceleration is directly proportional to the amplitude.