I was practicing physics problems when I faced one which said that minimum kinetic energy of a simple harmonic oscillator (in the question it was a spring block system) can be non zero.
However, it occurred to me that it cannot be possible since in such a motion a time will come when the spring will be stretched to its maximum and the velocity of the block will change direction. So, at a time between the change in direction of the velocity there will be an instant of zero velocity where the kinetic energy will be zero(the instant of minimum Kinetic Energy).
So who is right here, and if the minimum kinetic energy of a simple harmonic oscillator can be non zero then cite an example.
Edit: Sorry the question is actually about "minimum Kinetic Energy"