Free Printable Oscillatory Part 2 & 3

1.

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

2.

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

3.

Which equation describes the pendulum’s period?

a)

A

b)

B

c)

C

d)

D

4.

The velocity of a spring-block system vibrating along the y-axis changes with time according to the equation:

𝑣(𝑡) = - 2𝜋 sin (𝜋𝑡 + 𝜋).

What is the maximum acceleration of the object?

a)

𝜋

b)

2𝜋

c)

2𝜋²

d)

𝜋/2

5.

Given equation of SHM,

$x\left(t\right)=0.34\ mm\ \cos\left(3000t\right)$ where t is in second.

The frequency is:

a)

3000 Hz

b)

3000/2π Hz

c)

3000/π Hz

6.

The acceleration of a particle in SHM is:

a)

always zero

b)

always constant

c)

maximum at amplitude

d)

maximum at the equilibrium position

7.

The velocity of a spring-block system vibrating along the y-axis changes with time according to the equation:

𝑣(𝑡) = - 2𝜋 sin (𝜋𝑡 + 𝜋).

What is the value of the velocity (in m/s) at the instant when the acceleration is zero?

a)

2𝜋

b)

2𝜋²

c)

𝜋

d)

𝜋/2

8.

Diagram below shows an oscillating system.

Which graph shows the correct relationship between displacement and time for the oscillating system?

a)

b)

c)

d)

9.

The equation of Simple Harmonic Motion is $x\left(t\right)=A\ \sin\ \left(2\pi t\ +\phi\right)$

then its phase at time t=0 is:

a)

$2\pi t$

b)

$\phi$

c)

$2\pi t+\phi$

d)

$2\pi\phi$

10.

In a simple pendulum, which force brings the mass back to equilibrium?

a)

Gravitational force

b)

Elastic force

c)

Tension

d)

Friction

11.

A simple harmonic motion is defined as motion where

a)

$a\propto x$

b)

$a\propto-x$

c)

$v\propto x$

d)

$v\propto-x$

12.

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

13.

An oscillation has a function $x\left(t\right)=2.0\ cm\ \sin\ \left(3.0t\right)$

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 $rad\ s^{-1}$

14.

A simple pendulum oscillates with small amplitude, and its frequency is f.

If its length is doubled, what is the new frequency of its motion?

a)

$\frac{1}{2}f$

b)

$\frac{1}{\sqrt{2}}f$

c)

$\sqrt{2}f$

d)

$2f$

15.

Which of the following is/ are characteristics of simple harmonic motion?

I. The acceleration is constant .

II. The restoring force is proportional to the displacement.

III. The frequency is independent of the amplitude.

a)

I, II, and III

b)

I and II only

c)

II and III only

16.

A block attached to an ideal spring undergoes simple harmonic motion about its equilibrium position (x = 0) with amplitude A.

What fraction of the total energy is in the form of kinetic energy when the block is at position

(x =1/2 A)?

a)

1/3

b)

3/8

c)

1/2

d)

2/3

e)

3/4

17.

In the graph above, the B is the characteristic of:

a)

Underdamped

b)

Critically Damped

c)

Overdamped

Oscillatory Part 2 & 3

Total questions: 17

Worksheet time: 34mins

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