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Simple Harmonic Motion

Total questions: 25

Worksheet time: 45mins

Name
Class
Date
1.

Which of the following equation represent the displacement of SHM:

a)

x= A tan ωt

b)

x= A sin ωt

c)

x= A sin ωt cos kx

d)

x= A sin (ωt ± kx)

2.
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
3.

A simple harmonic motion is defined as motion where

a)

axa\propto x

b)

axa\propto-x

c)

vxv\propto x

d)

vxv\propto-x

4.

Which of the following statements is FALSE about SHM?

a)

Magnitude of acceleration is inversely proportional to displacement

b)

Vertical spring oscillation up and down is example of SHM

c)

Maximum velocity of object in SHM can be determine by using vmax = Aω

d)

Velocity of an object in SHM at maximum displacement is zero

5.

When is a pendulum in simple harmonic motion?

a)

Never

b)

All the time

c)

only at large angles

d)

only at small angles

6.

If a simple harmonic oscillator has a displacement of 0.02 m and acceleration equal to 2.00 m s-2, the angular frequency is equal to:

a)

10.0 rad s-1

b)

0.10 rad s-1

c)

100 rad s-1

d)

1.00 rad s-1

7.

When is the pendulum at 0 velocity

a)

At its lowest point

b)

At its highest point

c)

It moves at a constant velocity

d)

It is at rest

8.

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

9.

At which position is the acceleration of an oscillating object equal to zero?

a)

A

b)

B

c)

C

d)

D

10.

At which position is the kinetic energy of an oscillating object maximum?

a)

A

b)

B

c)

C

d)

D

11.
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
12.

The amplitude and period in a SHM is 0.5 m and 0.4 s respectively. The equation of SHM will be:

a)

x=0.5 sin 5πt

b)

x=0.5 sin 4πt

c)

x=0.5 sin 2.5πt

d)

x=0.5 sin 0.8πt

13.
What is the equation for frequency?
a)
f = t/n
b)
f = 1/T
c)
f = 2 T
14.

What is the period for this waveform?

a)

2 s

b)

1 s

c)

4 s

d)

0.75 s

15.

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?

a)

the time period

b)

the total energy

c)

the maximum velocity

d)

the maximum acceleration

16.

The motion graph shown is for

a)

displacement

b)

velocity

c)

acceleration

d)

any of the above

17.

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

a)

A

b)

B

c)

C

d)

Not enough information

18.

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.

19.
An object oscillating in simple harmonic motion has a time period T. The first graph shows how its displacement varies with time. Which of the subsequent graphs, A to D, show how the kinetic energy, Ek, of the object varies with time? 
a)
A
b)
B
c)
C
d)
D
20.

1. Which of the following graphs shows the kinetic energy K of the particle as a function of its displacement x?

a)
b)
c)
d)
21.

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

a)
b)
c)
d)
22.
Which graph, A to D, shows the variation of the kinetic energy, Ek, with displacement x for a particle performing simple harmonic motion? 
a)
A
b)
B
c)
C
d)
D
23.

Which of the following graphs correctly represents the relationship between the kinetic energy Ek and the displacement (d) from point of release of a swinging pendulum bob?

a)
b)
c)
d)
24.
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 
25.
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