Question

A particle of mass m is acted upon by a force $F=t^2-kx$. Initially the particle is at rest at the origin . Then

• A. Its displacement will be in simple harmonic
• B. Its velocity will be in simple harmonic.
• C. Its acceleration will be in simple Harmonic.
• D. None of the above.

Answer 1

The correct option is D None of the above.

For a motion to be simple harmonic, force is directly proportional to ( -x ). Since force has a t^2 component here, the force is not directly proportional to ( -x ) so the motion is not simple harmonic therefore neither displacement nor velocity and nor acceleration are simple harmonic. Hence answer should be option D.