Simple Harmonic Motion  Springs
Key Questions

Simple harmonic motion is defined as an oscillatory motion where displacement occurs against the direction of a force acting and that force is proportional to the one degree power of displacement.
That means,
#F=kx# where,#k# is a constantHere,
#F# is the force acting and#x# is the displacement.In case of spring,if we compress it by
#x# due to its elastic recoil,restoring force generated is#F=Kx# where,#K# is the spring constant!Now,this restoring force tries to return back the original length of the spring,i.e it acts against the direction of displacement caused to it.
So,the forcedisplacement relationship turns out to be,
#F=Kx# Now,you can compare it with equation of S.H.M i.e
#F=kx# So,here,
#k=K# i.e the spring constant.Thereby simple spring motion fulfills the required criteria of being an S.H.M.

Answer:
This a motion where the acceleration is is directly proportional to the displacement and this acceleration is directed to a fixed point.
Explanation:
simple harmonic motion(SHM) is isochronous. this means the period of the oscillations is independent of the amplitude. this hold true when the oscillation is undamped .