Force constant of an ideal spring is 200 nM . A body of mass. 200 π 2 kg is suspended from it and made to oscillate. Find the time period of the oscillation.

A spring-loaded body will execute simple harmonic motion if releases after stretching to some distance The time period of a spring executing simple harmonic motion is given by T = 2 π m k where m , k are the inertia constant (mass) and the force constant of the spring, Substituting the given values, we have, T = 2 π 200 π 2 × 200 = 2 sec .

EASY

11th ICSE

IMPORTANT

Earn 100

The maximum velocity of a particle executing SHM is $100 {cms}^{- 1}$ and acceleration is $157 cm s^{- 2}$ . Determine the periodic time.

Important Questions on Simple Harmonic Motion

EASY

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 10

When a

2 kg

weight is suspended by a spring, the spring is stretched If the body is pulled slightly and released, it oscillates up and down. What force is applied on the body by spring when it passes through the mean position?

MEDIUM

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 11

A weight of

1 kg

suspended from light spring perform

4

oscillations per second. How many oscillations will be performed by

4 kg

weight suspended by the same spring?

EASY

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 12

Force constant of an ideal spring is

200 nM

. A body of mass.

{(\frac{200}{π})}^{2} kg

is suspended from it and made to oscillate. Find the time period of the oscillation.

MEDIUM

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 13

The length of a string increased by

20 cm

when a

1 kg

body is suspended from it Determine the force constant of the spring. If the body is pulled on slightly and then release what will be the period of oscillations. If the body along with spring execute SHM on a friction less horizontal surface, what will be its time period?

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 14

On suspending a body of

5 kg

by a spring of negligible mass, the spring is stretched my

7 cm

. Now the body is given the velocity of

40 cm

downwards from its mean position. Calculate the angular velocity and of the resulting oscillations.

EASY

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 15

The force constant of a weightless spring is $16 N / m$ . A body of mass $1.0 kg$ is suspended from it is pulled down through $5 c m$ & then released. Determine the period of oscillation of the body

EASY

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 15

The force constant of a weightless spring is

16 N / m

A body of mass

1.0 kg

suspended from it is pulled down through

5 cm

& then released. Determine the maximum kinetic energy of the body

EASY

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>NUMERICALS>Q 16

When the length of spring is altered by

0.1 m

, the potential energy of the spring changes by

0.5 J

. Find the spring constant of the spring.

The maximum velocity of a particle executing SHM is 100 cms-1 and acceleration is 157cm s-2. Determine the periodic time.

Important Questions on Simple Harmonic Motion

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The maximum velocity of a particle executing SHM is $100 {cms}^{- 1}$ and acceleration is $157 cm s^{- 2}$ . Determine the periodic time.