Question

define shm and relate the same with uniform circular motion and derive velocity acceleration and displacement of shm

Answer 1

Answer:

Simple Harmonic Motion can be defined as a periodic motion of a body in which the restoring force (or acceleration) acting on the body is always directed towards the mean position and such that the magnitude of this force or acceleration is directly proportional to the displacement of the particle from its mean position.

SHM and uniform circular motion can be related such that observing, that the projection of. circular motion of an object on its diameter is the same as Simple Harmonic Motion.

And so, geometrically we can then prove that

x = A sin(wt+©)

v = Aw cos (wt+©)

and, consequently

a = -w^2 x

hope this helps you !