Oscillation Of Two Particle System - Practice Questions & MCQ

Two blocks of masses   and   are connected with a spring of natural length l and spring constant k. The system is lying on a
frictionless horizontal surface. Initially, spring is compressed by a distance  as shown in the below Figure.

If we release these blocks from the compressed position, then they will oscillate and will perform SHM about their equilibrium position.

• The time period of the blocks-

In this case, the reduced mass m_r is given by  

and 

Or 

• The amplitude of the blocks-  Let the amplitude of the blocks as A₁ and A₂ 

(As net external force is zero and initially the center of mass was at rest 

so  )