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1. 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.
i. Find the locus of mid-point of spring of force constant K3.
ii. Find the frequency of the rod.
iii. What would be the maximum angular displacement of the oscillating system.
(Assume only one collision)
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