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IMPORTANT

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A particle executes a simple harmonic motion of time period $T$ . Find the time taken by the particle to go directly from its mean position to half the amplitude.

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Important Questions on Simple Harmonic Motion

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 8

A particle executing

SHM

of amplitude

4 cm

and

T = 4 s

. The time taken by it to move from a positive extreme position to half the amplitude is

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JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 9

Two simple harmonic motions are represented by the equations

y_{1} = 0.1 \sin (100 π t + \frac{π}{3})

and

y_{2} = 0.1 cosπ t

. The phase difference of velocity of the particle

1

with respect to the velocity of particle

2

at a time

t = 0

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 10

A particle executing simple harmonic motion has an amplitude of

6 cm

. Its acceleration at a distance of

2 cm

from the mean position is

8 cm s^{- 2}

. The maximum speed of the particle is

MEDIUM

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 11

A particle executes simple harmonic motion with an amplitude of

4 cm

. At the mean position, the velocity of the particle is

10 cm s^{- 1}

. The distance of the particle from the mean position when its speed becomes

5 cm s^{- 1}

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 12

The maximum velocity of a simple harmonic motion represented by

y = 3 \sin (100 t + \frac{π}{6})

is given by

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 13

Velocity at mean position of a particle executing

SHM

v

. Velocity of the particle at a distance equal to half of the amplitude will be

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 14

Two massless springs of force constants

k_{1}

and

k_{2}

are joined end to end. The resultant force constant

k

of the system is

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 15

A light spring of constant

k

is cut into two equal parts. The spring constant of each part is

A particle executes a simple harmonic motion of time period T. Find the time taken by the particle to go directly from its mean position to half the amplitude.

Important Questions on Simple Harmonic Motion

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A particle executes a simple harmonic motion of time period $T$ . Find the time taken by the particle to go directly from its mean position to half the amplitude.