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

Options

A. `pi` rad
B. `(3pi)/(2)` rad
C. `pi/2`
D. Zero

Answer

A

Explanation

If `y=Asinomegat`
Then `v=(dy)/(dt)`
`v=Aomegacosomegat`
`a=(dv)/(dt)`
`a=-Aomega^(2)sin(omegat)`
`a=Aomega^(2)sin(omegat+pi)`
So phase difference between displacement and acceleration is `pi`.