wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

pendulum

Total questions: 23

Worksheet time: 12mins

Name
Class
Date
1.

A thin uniform rod AB of length L and mass M is pivoted from a point

L/4 from vertical position and released to form a pendulum, find the Time Period of its

Oscillations?

a)

π root(5L/6g)

b)

2π root( 6L/7g)

c)

2π root(7L/12g)

d)

3π root(8L/13g)

2.

A simple pendulum has time period T = 2 s in air. If the whole arrangement is placed in a nonviscous liquid whose density is ½ times the density of the bob. The time period in the liquid will be,

a)

(2/√2) s

b)

4 s

c)

2√2 s

d)

4√2 s

3.

A simple pendulum suspended form the ceiling of a lift has time period T when the lift is at rest. When the lift falls freely, the time period is

a)

infinite

b)

T/g

c)

zero

d)

g/T

4.

What is the length of a simple pendulum which ticks seconds?

a)

0.5m

b)

1m

c)

8m

d)

2m

5.

For small swings the period of swing is approximately the same for different size swings: that is, the period is independent of amplitude. This property, called

a)

isochronism

b)

simple harmonic motion

c)

oscillation

d)

seismic activity

6.

The two main methods of controlling a double inverted pendulum are

a)

moving the base, as with the inverted pendulum,

b)

by applying a torque at the pivot point between the two pendulums.

c)

both a and b

7.

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)

2s

b)

4s

c)

6s

d)

8s

8.

If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?

a)

0.116%

b)

0.0116%

c)

1.16%

d)

11.6%

9.

An engineer builds two simple pendula. Both are suspended from small wires secured to the ceiling of a room. Each pendulum hovers 2 cm above the floor. Pendulum 1 has a bob with a mass of 10 kg. Pendulum 2 has a bob with a mass of 100 kg. Describe how the motion of the pendula will differ if the bobs are both displaced by 12º.

a)

Amplitude changes by 1 cm.

b)

Time period will change by 0.2 s.

c)

Theta change by 0.2 rad.

d)

The movement of the pendula will not differ at all

10.

Natural frequency of simple pendulum depends upon

a)

its mass

b)

its length

c)

square of its length

d)

square root of its length

11.

For simple pendulum of length ‘L’ comparable to the radius of the earth ‘R’, then the time period T =

a)

2π √[L/(g + a)]

b)

2π × √[L/(g^2 + a^2)^1/2]

c)

2π [1/(g/L + g/R)]

d)

2π × √(R/g)

12.

The period of oscillation of a simple pendulum is T= 2π × √(L/g). Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is :

a)

1%

b)

3%

c)

2%

d)

5%

13.

In order to double the period of a simple pendulum, the length of the string should be

a)

halved

b)

doubled

c)

quadrupled

d)

none

14.

You are on planet YZ and an astronaut observes that a 1.0 m long pendulum has a period of 1.50 s on the planet. What is the free-fall acceleration on YZ(in m/s^2)?

a)

1.003

b)

26.4

c)

17.6

d)

0.23

15.

Any swinging rigid body free to rotate about a fixed horizontal axis is called a

a)

compound pendulum

b)

physical pendulum

c)

Foucault pendulum

d)

both a and b

16.

when you see a horizontal circular motion horizontally it will look like a SHM and when you look it from the top it will look like a circular motion

a)

true

b)

false

17.

If a pendulum is taken to a high altitude

a)

it will gain time

b)

it will lose time

c)

time remains constant

d)

none

18.

What is the time period of a seconds pendulum at the surface of the moon?

a)

2.449 seconds

b)

2 root 6 seconds

c)

2.45 s

d)

2 seconds

19.

A seconds pendulum is kept in a satellite at a distance 3R from the Earth’s surface. What is its time period

a)

1 s

b)

2 s

c)

3 s

d)

4 s

20.

Does a simple pendulum work in a freely falling satellite?

a)

yes

b)

no

21.

The period of swing of a simple gravity pendulum depends on its length and the local strength of gravity

a)

True

b)

False

22.

In this figure, T is equal to

a)

mg secθmg\ \sec\theta

b)

mg cosθmg\ \cos\theta

c)

mg cotθmg\ \cot\theta

d)

mg cosec θmg\ \operatorname{cosec}\ \theta

23.
a)

The image is false. a and v can never be perpendicular.

b)

True, acceleration and velocity are perpendicular.