Free Printable Oscillation & SHM

1.

A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is NOT correct?

a)

The applied force prevents the amplitude from becoming too large.

b)

The frequency of the applied force is the same as the natural frequency of oscillation of the system.

c)

The total energy of the system is constant.

d)

The amplitude of oscillations depends on the amount of damping.

2.

Which one of the following statements shows the disastrous effects of resonance?

a)

a quartz crystal that can be made to vibrate at a specific frequency

b)

radio to tune into one specific station and not another

c)

a building or a bridge set into resonance by an earthquake or the wind

d)

microwave oven warming food

3.

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

a)

The time period.

b)

The total energy.

c)

The maximum velocity.

d)

The maximum acceleration.

4.

A particle of mass 0.20 kg moves with simple harmonic motion of amplitude 2.0 × 10^–2 m. If the total energy of the particle is 4.0 × 10^–5 J, what is the time period of the motion?

a)

$\frac{\pi}{4}\ \sec$

b)

$\frac{\pi}{2}\ \sec$

c)

$\pi\ \sec$

d)

$2\pi\ \sec$

5.

A body executes simple harmonic motion. Which one of the graphs, A to D, best shows the relationship between the kinetic energy, E_k, of the body and its distance from the centre of oscillation?

a)

b)

c)

d)

6.

A mass on the end of a spring undergoes vertical simple harmonic motion. At which point(s) is the magnitude of the resultant force on the mass a minimum?

a)

at the centre of the oscillation

b)

only at the top of the oscillation

c)

only at the bottom of the oscillation

d)

at both the top and bottom of the oscillation

7.

A particle is executing S.H.M. if its amplitude is 2 m and periodic time 2 seconds. Then the maximum velocity of the particle will be:

a)

6π

b)

4π

c)

2π

d)

π

8.

An oscillation has a function $y\left(t\right)=2.0\ \sin\ \left(3.0t\right)$ cm
What is its angular frequency?

a)

2.0 $rad\ s^{-1}$

b)

3.0 $rad\ s^{-1}$

c)

0.48 $rad\ s^{-1}$

d)

2.1 $rad\ s^{-1}$

9.

Which position shows the spring with maximum kinetic energy?

a)

A

b)

B

c)

C

d)

D

10.

What is the phase difference between the displacement and acceleration of a particle executing SHM?

a)

zero

b)

π radian

c)

π/2 radian

d)

2π radian

11.

The pendulum shown in the diagram makes 5 cycles in 15s. Calculate its frequency.

a)

1/2 Hz

b)

1/3 Hz

c)

1/4 Hz

d)

1/5 Hz

12.

Which of the equations below gives the correct equation for the period of a pendulum?

a)

$T\ =\ 2\pi\sqrt[]{\frac{k}{m}}$

b)

$T\ =\ 2\pi\sqrt[]{\frac{L}{g}}$

c)

$T\ =\ 2\pi\sqrt[]{\frac{g}{L}}$

d)

$T\ =2\pi\sqrt[]{\frac{m}{k}}$

13.

Which of the equations below gives the correct equation for the period of horizontal mass-spring system?

a)

$T\ =\ 2\pi\sqrt[]{\frac{k}{m}}$

b)

$T\ =\ 2\pi\sqrt[]{\frac{L}{g}}$

c)

$T\ =\ 2\pi\sqrt[]{\frac{g}{L}}$

d)

$T\ =2\pi\sqrt[]{\frac{m}{k}}$

14.

Find the period of a 25-kg mass placed in oscillation on the end of a spring having k = 150 Nm-1

a)

590

b)

10

c)

15 s

d)

2.56 s

15.

In all oscillations v = 0 at the extremes and v = vmax in the middle (equilibrium) of the motion. Is this statement correct?

a)

Yes

b)

No

c)

Could be true or not

Oscillation & SHM

Total questions: 15

Worksheet time: 11mins

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