1.

What is the phase difference the velocity and acceleration of a particle executing SHM?

Answer»

`pi`
`0.707pi`
ZERO
`0.5pi`

Solution :Displacement of SHO `y= A sin omega t`
INSTANTANEOUS velocity `v= (DY)/(dt)= A omega cos omega t`
`=A omega sin(omega t +(pi)/(2))`
and instantaneous acceleration
`a= (DV)/(dt)= -omega^(2)y = -omega^(2) [A sin omega t]`
`therefore a= A omega^(2) sin (omega t+pi)`.
Hence, phase difference between instantaneous velocity and acceleration.
`=|(pi)/(2)-pi|=|-(pi)/(2)|=0.5pi`.


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