A 20 g particle is subjected to two simple harmonic motions x 1 = 2 sin 10 t , x 2 = 4 sin 10 t + π 3 , where x 1 and x 2 are in metre and t is in second. Choose the correct option(s).

Energy of the resultant motion will be 28 J .

MEDIUM

Physics

IMPORTANT

Earn 100

For the spring pendulum shown in the given figure, the value of spring constant is $3 \times 10^{4} {Nm}^{- 1}$ and amplitude of oscillation is $0.1 m .$ The total mechanical energy of oscillating system is $200 J .$ Mark out the correct option(s).

50% studentsanswered this correctly

Important Questions on Linear and Angular Simple Harmonic Motion

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 8

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency

ω

.The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time :

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 9

For a simple harmonic motion with given angular frequency

ω,

two arbitrary initial conditions are necessary and sufficient to determine the motion completely. These initial conditions may be

EASY

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 10

The potential energy

U

of a body of unit mass moving in one dimensional conservative force field is given by

U = x^{2} - 4 x + 3 .

All units are in SI. For this situation mark out the correct statement(s).

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 11

A particle performing simple harmonic motion undergoes initial displacement of

A / 2

(where

A

is the amplitude of simple harmonic motion) in

1 s .

t = 0,

the particle may be at the extreme position or mean position. The time period of the simple harmonic motion can be

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 12

A particle is subjected to two simple harmonic motions along x and y directions according to, x = 3 sin 100 πt; Y = 4 sin 100πt.

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 13

The speed

v

of a particle moving along a straight line, when it is at a distance (

x

) from a fixed point of the line is given by

v^{2} = 108 - 9 x^{2}

(all quantities are in CGS units). Which of the following is/are true?

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 14

A horizontal plank has a rectangular block placed on it. The plank starts oscillating vertically and simple harmonically with an amplitude of 40 cm. The block just loses contact with the plank when the latter is at momentary rest. Then–

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 15

20 g

particle is subjected to two simple harmonic motions

x_{1} = 2 \sin 10 t

x_{2} = 4 \sin (10 t + \frac{π}{3})

, where

x_{1}

and

x_{2}

are in metre and

t

is in second. Choose the correct option(s).

For the spring pendulum shown in the given figure, the value of spring constant is 3×104 Nm-1 and amplitude of oscillation is 0.1 m. The total mechanical energy of oscillating system is 200 J. Mark out the correct option(s).

Important Questions on Linear and Angular Simple Harmonic Motion

Learn and Prepare for any exam you want !

For the spring pendulum shown in the given figure, the value of spring constant is $3 \times 10^{4} {Nm}^{- 1}$ and amplitude of oscillation is $0.1 m .$ The total mechanical energy of oscillating system is $200 J .$ Mark out the correct option(s).