JEE Advanced 2013 Physics question
A bob of mass m, suspended by a string of length , is given a minimum velocity required to complete a full circle in the vertical plane. At the highest point, it collides elastically with another bob of mass m suspended by a string of length , which is initially at rest. Both the strings are mass-less and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio is
Solution
With the minimum speed at the bottom, the first bob just completes the circle, so at its highest point its speed is (tension zero there). In a head-on elastic collision between equal masses with the second at rest, the velocities
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