Free Printable Topic 9 Simple Harmonic Motion (SHM)

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Topic 9 Simple Harmonic Motion (SHM)

Total questions: 40

Worksheet time: 40mins

Name

Class

Date

Which is NOT true of a simple harmonic motion ?

The acceleration is always constant.

The period of oscillation is always constant.

The acceleration is directly proportional to the displacement from the equilibrium position

The resultant force is directly proportional to the displacement from the equilibrium position.

A mass on a spring undergoes SHM. The maximum displacement from the equilibrium is called......... and the time required to complete one cycle is called ......................

displacement ; frequency

amplitude ; period

amplitude ; frequency

displacement ; period

In SHM motion, velocity at equilibrium position is

constant

maximum

minimum

zero

A body executes simple harmonic motion (SHM). The potential energy (U), the kinetic energy (K) and total energy (E) are measured as a function of displacement x. Which of the following statements is TRUE ?

Potential energy, U is maximum when x = 0

Kinetic energy, K is maximum when x = 0

Total energy E is zero when x = 0

Kinetic energy, K is maximum when x is maximum.

The period of oscillation of a pendulum depends on all the following factors EXCEPT

mass of the bob.

length of the string.

gravitational acceleration

pendulum initial angular displacement

A mass on a spring undergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity

is maximum

is less than maximum but not zero

is zero

cannot be determined from the information given

A mass is attached to a vertical spring and bobs up and down between point A and B. Where is the mass located when its kinetic energy is zero?

at either A or B

midways between A and B

one fourth of the way between A and B

none of above

When the mass of a simple pendulum is tripled, the time required for one complete oscillation

increased by a factor of 3

does not change

decreases to one third of its original value

None of the above

A mass oscillates on the end of a spring performs SHM, both on Earth and on the Moon. Where is the period the greatest ?

Earth

Moon

same on both Earth and Moon

can not be determined from the information given.

10.

The time required to complete one oscillation is called

Period

Frequency

Amplitude

Vibration

11.

The force which opposes the applied force producing the displacement in a spring that tends to bring the system back to equilibrium is called

Periodic force

centripetal force

Resistive force

Restoring force

12.

Distance covered during one oscillation of a object performs simple harmonic motion in term of amplitude A is

A / 2

13.

In simple harmonic motion

Potential energy remains constant

Kinetic energy remains constant

Total energy remain constant

Total momentum remain constant

14.

Angular velocity of body attached with horizontal mass spring system is given by

$\omega=\frac{k}{m}$

$\omega=\frac{\sqrt{k}}{m}$

$\omega=\sqrt{\frac{k}{m}}$

$\omega=\frac{k}{\sqrt{m}}$

15.

For a system undergoes simple harmonic motion, which of the following terms represent the number of cycles or oscillations in one second?

amplitude

period

frequency

revolution

16.

SI unit for angular velocity is

radian

radian per second

Herts

meter

17.

If f is frequency of a body executing SHM, its angular frequency ω is

$4\pi f$

$3\pi f$

$2\pi f$

$\pi f$

18.

In SHM, the restoring force is directly proportional to

velocity

acceleration

Displacement

Time period

19.

The expression for instantaneous displacement of particle executing SHM is

$a=-\omega^2x$

$x=A\sin\omega t$

$F=kx$

All of above

20.

An object undergoes SHM has a maximum acceleration when its displacement from equilibrium is

Maximum

Zero

Half of the maximum value

One third of the maximum value

21.

The phase

\omega t

of SHM describes

Displacement only

Direction of motion only

Both displacement and direction of motion

Neither displacement nor direction of motion

22.

What are the two requirements for a simple harmonic oscillator?

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

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

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

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

23.

Potential energy of a SHM system is maximum at

Amplitude

Equilibrium position

one fourth of amplitude

one third of amplitude

24.

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

25.

Which of the following equation represent the displacement of SHM:

$x=A\tan\omega t$

$x=A\cos kx\sin\omega t$

$x=A\sin\left(\left(\omega t\pm kx\right)\right)$

$x=A\sin\omega t$

26.

An object is performing vertical SHM. X represents a position on its reference circle. Which point on the graph corresponds to X ?

A or B

C o D

27.

For a simple harmonic oscillator, which of the following pairs of vector quantities CAN NOT both point in the same direction? (The position vector is the displacement from equilibrium.)

position & velocity

velocity & acceleration

position & acceleration

None of them.

28.

Which of the following statement is TRUE about a particle that performs simple harmonic motion ?

it is in equilibrium at the center of its path due to zero acceleration.

It is in equilibrium at the ends of its path due to zero velocity.

There is a constant restoring force to sustain the motion.

The motion traces a circular path.

29.

The amplitude of a system moving with simple harmonic motion is doubled. The total energy will then be

2 times larger

3 times larger

4 times larger

the same as it was

30.

What is the period for this waveform?

2 s

1 s

4 s

0.75 s

31.

Which graph, A to D, shows the variation of the kinetic energy, E_k, with displacement x for a particle performing simple harmonic motion?

32.

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

33.

The maximum displacement on either side of the equilibrium position of an object in simple harmonic motion represents

period

amplitude

wavelength

frequency

34.

A mass on the end of a spring is released from rest from an initial displacement A. Its oscillations have total energy E.

Later, the same mass is extended and released from a displacement of 2A. Which of the following gives the correct new time period and new total energy?

Time period T; New energy 4E

Time period T; New energy 2E

Time period $\sqrt{2}T$ ; New energy 4E

Time period $\sqrt{2}T$ ; New energy 2E

35.

Which of the following is the correct expression for the displacement x?

$-x_0\ \cos\ \frac{2\pi}{T}t$

$x_0\ \cos\ \frac{2\pi}{T}t$

$-x_0\ \sin\ \frac{2\pi}{T}t$

$x_0\ \sin\ \frac{2\pi}{T}t$

36.

Which of the following is the expression for the above graph?

x = 2 sin (2πt)

x = 2 cos (2πt)

x = 2 sin (0.5πt)

x = 10 sin (2πt)

37.

A block is attached to a spring and oscillates on a horizontal frictionless surface and the position vs. time graph is shown below. Which is the velocity vs. time graph?

38.

An object oscillates with simple harmonic motion.

Which graph best shows the variation of its potential energy E with distance x from the equilibrium position?

39.

Pendulum "A" is on Jupiter Pendulum "B" is on the Moon. The Moon has less gravity than Jupiter the pendulums have the same mass and length. Which pendulum is moving faster?

Same

The information is not enough to answer this

40.

The period of a pendulum may be decreased by

shortening its length.

increasing the mass of the bob

moving its equilibrium point

decreasing the mass of the bob

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Topic 9 Simple Harmonic Motion (SHM)

Total questions: 40

Worksheet time: 40mins

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