Free Printable SHM

1.

a)

New period:T, New energy:4E

b)

New period:T, New energy:2E

c)

New period:2T, New energy:4E

d)

New period:2T, New energy:2E

2.

a)

$-x_0\cos\left(2π/T\right)t$

b)

$x_0\cos\left(2π/T\right)t$

c)

$-x_0\sin\left(2π/T\right)t$

d)

$x_0\sin\left(2π/T\right)t$

3.

a)

$\left(2π/T\right)x_0$

b)

$\left(2π/T^2\right)x_0$

c)

$\left((4π^2)/T^2\right)x_0$

d)

$\left((4π^2)/T\right)x_0$

4.

a)

$v=v_0\sin(2π/T)t$

b)

$v=v_0\sin(t/T)$

c)

$v=v_0\sinπTt$

d)

$v=v_0\sin(T/2π)t$

5.

An object undergoes simple harmonic motion (shm) of amplitude x₀. When the displacement of the object is x₀/3, the speed of the object is v. What is the speed when the displacement is x₀?

a)

0

b)

v/3

c)

$\sqrt{2}$ /3 v

d)

3v

6.

An object undergoing simple harmonic motion (SHM) has a period Tand total energy E. The amplitude of oscillations is halved. What are the new period and total energy of the system?

a)

Period:T/2 Energy:E/4

b)

Period:T/2 Energy:E/2

c)

Period:T Energy:E/4

d)

Period:T Energy:E/2

7.

A spring loaded with mass moscillates with simple harmonic motion. The amplitude of the motion is Aand the spring has total energy E. What is the total energy of the spring when the mass is increased to 3mand the amplitude is increased to 2A?

a)

2E

b)

4E

c)

12E

d)

18E

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

O only

b)

X and Y only

c)

O, X and Y

d)

Neither O, X nor Y

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

$-2πA/T\sin(πt/T)$

b)

$2πA/T\sin(πt/T)$

c)

$-2πA/T\cos(πt/T)$

d)

$2πA/T\cos(πt/T)$

12.

a)

A

b)

B

c)

C

d)

D

13.

If an object is in oscillatory motion, what must be true if it's in simple harmonic motion?

a)

Its motion is along the path of a circle

b)

acceleration is proportional to the displacement

c)

Its potential energy is equal to the kinetic energy

d)

It's attached to a spring

14.

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

15.

The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulum’s

a)

period.

b)

frequency.

c)

vibration.

d)

amplitude.

16.

Which position shows the spring with maximum elastic potential energy?

a)

A

b)

B

c)

C

d)

D

17.

In simple harmonic motion, the displacement is maximum when the:

a)

acceleration is zero

b)

velocity is maximum

c)

velocity is zero

d)

kinetic energy is maximum

18.

Suppose that a pendulum has a period of 4.0 s at Earth’s surface. If the pendulum is taken to the moon, where the acceleration due to gravity is much less than on Earth, will the pendulum’s period increase, decrease, or stay the same?

a)

Increase

b)

Decrease

c)

Stays the same

d)

Need more information

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.

By what factor should the length of a simple pendulum be changed in order to triple the period of vibration?

a)

3

b)

6

c)

9

d)

27

21.

A pendulum's period is initially t. Changes are made to the system so that the new period is 2t. What may have been changed?

a)

The length of the pendulum was increased by a factor of 2.

b)

The pendulum was moved to a planet with 2 times the mass of Earth.

c)

The length of the pendulum was increased by a factor of 4.

d)

The pendulum was moved to a planet with 4 times the mass of earth.

22.

A (a-x) graph is shown above. Given the angular frequency is 2 rad s^-1. The value of maximum acceleration is

a)

40 ms^-1

b)

20 ms^-1

c)

60 ms^-1

d)

30 ms^-1

23.

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

a)

x = 2 sin (2πt)

b)

x = 2 cos (2πt)

c)

x = 2 sin (0.5πt)

d)

x = 10 sin (2πt)

24.

Given an expression of x = 10 sin (0.25πt) where x in cm, t in second. Which of these answers are true?

a)

the frequency is 0.125 Hz

b)

the amplitude is 10 m

c)

the angular frequency is 0.125 rad s^-1

d)

at t = 0, x = 10 cm

SHM

Total questions: 24

Worksheet time: 27mins

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