Find the differential equation of motion of a spring mass oscillator. Find its solution for displacement. Also find the expression for angular frequency w,frequency and period of oscillation.

• Time period (T):- It is the time taken by the particle to complete one vibration.

T = 2π/ω

• Frequency (f):-It is the number of vibrations made by the body in one second.

(a) f=1/T 

(b) f=1/2π√k/m  

• Angular frequency (ω):-

(a) ω = 2π/T