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The maximum acceleration of a particle in $SHM$ is made two times keeping the maximum speed to be constant. It is possible when

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Important Questions on Simple Harmonic Motion

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

A body of mass $0.01 kg$ executes simple harmonic motion (SHM) about $x = 0$ under the influence of a force shown in figure. The period of the SHM is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 2

The vertical motion of a ship at sea is described by the equation

\frac{d^{2} x}{d t^{2}} = - 4 x,

where

x

is the vertical height of the ship (in metre) above its mean position. If it oscillates through a height of

1 m

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 3

Period of small oscillations in the two cases shown in figure is $T_{1}$ and $T_{2}$ respectively, then

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 4

The potential energy of a particle of mass

2 kg

S H M

(9 x^{2}) J .

Here,

x

is the displacement from mean position. If total mechanical energy of the particle is

36 J,

then maximum speed of the particle is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 5

The variation of $P E$ of harmonic oscillator is as shown in the figure. The spring constant is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 6

A particle of mass

0.1 kg

is executing

SHM

of amplitude

0.1 m

When the particle passes through the mean position, its

KE

8 \times 10^{- 3} J

. Find the equation of motion of the particle if the initial phase of oscillation is

45 °

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

A particle is in linear

SHM

of amplitude

A

and time period

T

v

refers to its average speed during any interval of

\frac{T}{3},

then the maximum possible value of

v

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

A simple pendulum is suspended from the ceiling of a car and its period of oscillation is

T

when the car is at rest. The car starts moving on a horizontal road with a constant acceleration

g

(equal to the acceleration due to gravity, in magnitude) in the forward direction. To keep the time period same, the length of the pendulum

The maximum acceleration of a particle in SHM is made two times keeping the maximum speed to be constant. It is possible when

Important Questions on Simple Harmonic Motion

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The maximum acceleration of a particle in $SHM$ is made two times keeping the maximum speed to be constant. It is possible when