The shown arrangement is in a horizontal plane. The particle with mass m is restricted to move in an elliptical orbit with shown dimension. The particle has velocity v at the shown position towards right. Length of rod is 2l. The coefficient of restitution between the particle and the rod is 1/3. The moment of inertia of rod is I, about O.

1. Find the locus of mid-point of spring of force constant K₃.


2. Find the frequency of the rod.


3. What would be the maximum angular displacement of the oscillating system.


4. (Assume only one collision)
   
    

A friend of mine puzzelled me with this saying it deserves some brain tackling,and sure it does.Well, i have tried it myself..its quite a question. Hope you all enjoy it. I am finding it difficult but it may be easier for you  .Hope you enjoy solving it..I am still on it..

Lets see can you solve it before me.

Keep smiling.....