Oscillations Due to Spring

Consider a block if it is pulled on one side and is released, and then it executes to and fro motion about a mean position.

In the above image a block, is on a frictionless surface when pulled or pushed and released, executes simple harmonic motion.

F (x) = –k x (expression for restoring force)

ü K is known as spring constant and its value is governed by the elastic properties of the spring. 

ü The above expression is same as the force law for SHM and therefore the system executes a simple harmonic motion.

Therefore, 

ω = √k/m 

T = 2√m/k

Where,

T is the period.