Which constraint would you use?

Classical Mechanics Level 5

A thin rod of mass \(m = 1\) kg and length \(l=1\) m is placed along the hypotenuse side of a wedge lying on a friction less floor having mass \(M =5\) kg and angle \(60° \). At \(t= 0\) 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 \(30°\) with the floor.

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

Notes

Take \(g=10m/{ s }^{ 2 }\)

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