Which of the following is a necessary and sufficient condition for SHM?

Question

Which of the following is a necessary and sufficient condition for SHM? (A) Constant period (B) Constant acceleration (C) Proportionality between acceleration and displacement from equilibrium position (D) Proportionality between restoring force and displacement from equilibrium position

Tardigrade Admin · Accepted Answer

When a particle moves in a straight line to and from about its equilibrium position in such a way that the force acting upon it is always directly proportional to its displacement and is directed towards the equilibrium position, then the motion of particle is called simple harmonic motion.

Q. Which of the following is a necessary and sufficient condition for SHM?

Constant period

Constant acceleration

Proportionality between acceleration and displacement from equilibrium position

Proportionality between restoring force and displacement from equilibrium position

When a particle moves in a straight line to and from about its equilibrium position in such a way that the force acting upon it is always directly proportional to its displacement and is directed towards the equilibrium position, then the motion of particle is called simple harmonic motion.