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Q.

A bead of mass m is sliding down the fixed inclined of rod of negligible mass without friction. It is connected to a point P on the horizontal surface with a light spring of spring constant k and the other end to the bead. The bead is released from rest and the spring is initially unstretched and vertical. The bead just stops at the bottom of the inclined rod. The angle which the inclined rod makes with the horizontal initially is  cot1(1+pmgkh) where p =  

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Detailed Solution

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lose in gravitational Potential Energy = gain in spring Potential Energy
mgh=12k(hcotαh)2
(cotα1)=2mgkh
cotα=1+2mgkh

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