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simple harmonic motion

Total questions: 15

Worksheet time: 9mins

Name
Class
Date
1.

What are the two requirements for a simple harmonic oscillator?

a)

The object vibrates about the equilibrium point and the restoring force is proportional to the displacement

b)

The object moves left to right and the restoring force is proportional to the displacement

c)

The object vibrates about the equilibrium and the restoring force is greater than the displacement

d)

The object moves left to right and the restoring force is greater than the displacement

2.

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

3.

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

4.

When does the mass move at maximum velocity in a mass-spring system?

a)

At equilibrium

b)

At the farthest point from the equilibrium

c)

At its hightest point

d)

At its lowest point

5.

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

6.

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.

7.

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

8.

Which one of the following statements is true when an object performs simple harmonic motion about a central point O?

a)

The acceleration is always away from O

b)

The acceleration and velocity are always in opposite directions.

c)

The acceleration and the displacement from O are always in the same direction.

d)

The graph of acceleration against displacement is a straight line.

9.

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

10.
What is the equation for frequency?
a)
f = t/n
b)
f = 1/T
c)
f = 2 T
11.
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 
12.
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
13.
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
14.

Given an expression of a SHM

x = 10 sin (11.4t). Calculate the time taken when x=10 cm for the 1st time

a)

0.138 s

b)

1.24 s

c)

11.11 s

d)

0.79 s

15.
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