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The amplitude of a particle performing S.H.M. is A. The displa

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The amplitude of a particle performing S.H.M. is $A$ . The displacement at which its velocity will be half of the maximum velocity is

Name: Video solution 1: The amplitude of a particle performing S.H.M. is A. The displacement at which its velocity will be half of the maximum velocity is
Uploaded: 2022-03-08T10:23:48.000Z
Duration: 2 min
Description: Video solution 1: The amplitude of a particle performing S.H.M. is A. The displacement at which its velocity will be half of the maximum velocity is

A /2

A /3

3 A /2

2 A / 3

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Updated on: Mar 8, 2022

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The amplitude of a particle performing S.H.M. is

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. The displacement at which its velocity will be half of the maximum velocity is

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Text solutionVerified

x = A sin ω t

V = \frac{d x}{d t} = A ω cos ω t

V_{ma x} = A ω

V = \frac{V _{ma x}}{2} = A ω cos ω t

\Rightarrow \frac{A ω}{2} = A ω cos ω t

\Rightarrow cos ω t = \frac{1}{2}

\Rightarrow ω t = 6 0^{0}

x = A sin ω t

= A sin 6 0^{0}

= A \frac{3}{2}

so, amplitude is

\frac{3 A}{2}

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Question Text	The amplitude of a particle performing S.H.M. is $A$ . The displacement at which its velocity will be half of the maximum velocity is
Updated On	Mar 8, 2022
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	198
Avg. Video Duration	2 min

The amplitude of a particle performing S.H.M. is $A$ . The displacement at which its velocity will be half of the maximum velocity is

Text solutionVerified

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