# Which constraint would you use?

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 $$g=10m/{ s }^{ 2 }$$
×