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Phase difference in two shms

The phase difference between the displacement and acceleration

Question

Medium

Solving time: 3 mins

The phase difference between the displacement and acceleration of particle executing S.H.M. in radian

π /4

π /2

π

2 π

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Updated on: Sep 3, 2023

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The phase difference between the displacement and acceleration of particle executing S.H.M. in radian

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Text solutionVerified

SHM is represented by

x = A sin ω t

Then, the velocity and acceleration after differentiation will be

v = A ω cos ω t

a = - A ω^{2} sin ω t

Now, we see displacement is in

sin ω t

amp; velocity is in

cos ω t

\Rightarrow

Phase difference between x and v

= π /2

rad Similarly, we see velocity in

cos ω t

acceleration in

sin ω t

\Rightarrow

Phase difference between v and a

= π /2

rad Thus, we can conclude that the phase difference between x amp;

a = π

rad.

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Question Text	The phase difference between the displacement and acceleration of particle executing S.H.M. in radian
Updated On	Sep 3, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	355
Avg. Video Duration	5 min

The phase difference between the displacement and acceleration of particle executing S.H.M. in radian

Text solutionVerified

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