Which constraint would you use?

A thin rod of mass m=1m = 1 kg and length l=1l=1 m is placed along the hypotenuse side of a wedge lying on a friction less floor having mass M=5M =5 kg and angle 60°60° . At t=0t= 0 the system is released from rest. Both the objects are free to move. Find the speed of the wedge when the rod makes an angle 30°30° with the floor.

The answer can be expressed as a(31)b\sqrt { \frac { a(\sqrt { 3 } -1) }{ b } } . Find a+ba+b.

Notes

  • Take g=10m/s2g=10m/{ s }^{ 2 }
I got this question from Tanya Sharma.
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