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Show that phase difference between dis...

Show that phase difference between
displacement and velocitu is `pi//2` radians.

Text Solution

Verified by Experts

The displacement of a particle executing SHM is given by
`y=A sin omegat`
Now, velocitu of the particle is given by
`v=(dy)/(d)=a omega cos t = a omegasin(omegat+(pi)/(2))` . . . (ii) `[becausecos theta=sin(theta+(pi)/(2))]`
From equation (i) and (ii). it is clear that phase difference displacement and velocity is `pi//2`
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