Question

A body performing simple harmonic motion has velocity time graph shifted along Y direction by $a$ units then choose the correct option,

• A. Energy of SHM has increased, because amplitude is increased.
• B. Its motion could be $x=cos(\pi t+\frac{3\pi }{2})$
• C. It is possible that the equilibrium position has been moved along Y direction
• D. none of the above

Answer 1

The correct option is C It is possible that the equilibrium position has been moved along Y direction

If $x=A\sin \omega t$ (displacement of particle), the velocity time graph.

This is motion about mean position $x=0$

Now the shifted graph is::

It clearly shows that mean position may be shifted by $a$ distance in $y$ direction.