Question
What type of force is necessary for the particle to execute simple harmonic motion?
Solution
A particle executing simple harmonic motion has acceleration directly proportional to displacement and is directed towards the mean position.
Mathematically, we can write,
Therefore, the force required to execute simple harmonic motion is directly proportional to displacement and directed towards the mean position.
The force directed towards mean position is called restoring force.
Thus a restoring force is directly proportional to displacement and is necessary for the particle to execute simple harmonic motion.
Mathematically, we can write,

Therefore, the force required to execute simple harmonic motion is directly proportional to displacement and directed towards the mean position.
The force directed towards mean position is called restoring force.
Thus a restoring force is directly proportional to displacement and is necessary for the particle to execute simple harmonic motion.