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Periodic and Oscillatory motion

If x, v and a denote the displacement, the velocity and the ac

Question

Solving time: 1 mins

If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?

a T / x

a T + 2 π v

a T / v

a^{2} T^{2} + 4 π^{2} v^{2}

Views: 5,724 students

Updated on: Apr 10, 2023

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Oliver Discussed

x, v

and

a

denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period

T

, then, which of the following does not change with time?

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

For an SHM, the acceleration

a = - ω^{2} x

where

ω^{2}

is a constant. Therefore,

\frac{a}{x}

is a constant. The time period

T

is also constant. Therefore,

\frac{a T}{x}

is a constant.

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Question Text	If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?
Updated On	Apr 10, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	457
Avg. Video Duration	8 min

If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?

Text solutionVerified

Filo tutor solutions (4)

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If x,v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Text solutionVerified

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If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?