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  4. The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

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Q. The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

NEETNEET 2020Oscillations

Solution:

Displacement of the particle executing SHM $x = A$ sin wt Acceleration of the particle $a =\frac{ d ^2 x }{ dt ^2}$
$ \Longrightarrow a =-A w ^2 \sin w t =A w ^2 \sin (\pi+ wt ) $
Thus phase difference between displacement and acceleration of the particle is $\pi$ radian.