A body in linear S.H.M. has maximum velocity, when it crosses the mean position. What is its velocity when it is midway between the mean position and the extreme position ?

Explanation

`v=omegasqrt(a^2-x^2) = omegasqrt(a^2-(a/2)^2)`
`=omegasqrt(a^2-a^2/4)=omegasqrt((3a^2)/4)=sqrt3/4a omega`