Two beads having masses 6 m and 12 m are connected with a light spring. The beads can slide over two frictionless parallel horizontal rail as shown in figure. The lighter bead is given an initial velocity 
in horizontal direction. Calculate the maximum extension produced in the spring.
Text Solution
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At maximum extension in the spring, both the rings move with same common velocity. Applying Work Energy Theorem from the centre of mass reference frame, we get
where, µ is reduced mass of system given by
Since no external forces are there, so Wext 
and due to extension of the spring, we have
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