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The amplitude of the wave resulting from the superposition of three waves given by $x_{1} = A \cos ω t, x_{2} = 2 A \sin ω t$ and $x_{3} = \sqrt{2} A \cos (ω t + \frac{π}{4})$ is

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Important Questions on Simple Harmonic Motion

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET 2020 (9-Sep Shift-1)>Q 1

A simple harmonic oscillator of frequency

1 Hz

has a phase of

1

radian. By how much should the origin be shifted in time so as to make the phase of the oscillator vanish. (time in seconds).

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET 2019 (03-May Shift-2)>Q 2

A particle of mass

0.1 kg

is executing simple harmonic motion of amplitude

0.1 m

. When the particle passes through the mean position, its kinetic energy is

8 \times 10^{- 3} J

. If the initial phase is

45 °,

the equation of its motion is (Assume,

x (t)

as the position of the particle at time

t

)

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET 2019 (03-May Shift-2)>Q 3

Which of the following equation represents a simple harmonic motion? (

ω

is angular frequency, A is amplitude of oscillation and

i = \sqrt{- 1}

)

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET 2021 (04-Aug Shift-2)>Q 4

A particle is executing simple harmonic motion (S.H.M.). Its acceleration at a distance of

1 cm

from the mean position is

3 cm s^{- 2} .

If its velocity is

6 cm s^{- 1}

when it is at a distance of

2 cm

from its mean position, then the amplitude of S.H.M. is,

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET - 5 August 2021 Shift 2>Q 5

A simple harmonic oscillator has an amplitude of

0.5 m

and a time period of

2

seconds. What is the magnitude of acceleration when it is displaced from the mean position by

0.25 m ?

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET 2021 (04-Aug Shift-1)>Q 6

A body of mass

1 kg

is executing simple harmonic motion (SHM). Its displacement

y

(in

cm

) at time t given by

y = [6 \sin (100 t + \frac{π}{4})] cm .

Its maximum kinetic energy is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET - 5 August 2021 Shift 1>Q 7

The displacement of a particle in simple harmonic motion (SHM) is given by

y = \sqrt{3 π} \sin (\frac{100}{π} t + \frac{π}{4}) .

What will be the displacement of the particle from the mean position when its kinetic energy is eight times that of its potential energy?

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Simple Harmonic Motion>TS EAMCET 2018 (04-May Shift-1)>Q 8

A particle of mass $m$ is attached to four springs with spring constant $k, k, 2 k$ and $2 k$ as shown in the figure. Four springs are attached to the four corners of a square and a particle is placed at the center. If the particle is pushed slightly towards any side of the square and released, the period of oscillation will be

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The amplitude of the wave resulting from the superposition of three waves given by x1=Acosωt, x2=2Asinωt and x3=2Acosωt+π4 is

Important Questions on Simple Harmonic Motion

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The amplitude of the wave resulting from the superposition of three waves given by $x_{1} = A \cos ω t, x_{2} = 2 A \sin ω t$ and $x_{3} = \sqrt{2} A \cos (ω t + \frac{π}{4})$ is