A weightless rod of length l with a small load of mass m at one of its end is held vertical with its lower end hinged on a horizontal surface. The load touches a wedge of mass M in this position. A slight jerk towards right sets the system in motion (see figure), with rod rotating freely in vertical plane about its lower end. There is no friction. (a) For what mass ratio M/m will the rod form an angletheta=pi//3 with the vertical at the moment the load separates from the wedge?(b) What is speed of the wedge at that moment? Neglect friction.

A weightless rod of length l with a small load of mass m at one of its

1.	A weightless rod of length l with a small load of mass m at one of its end is held vertical with its lower end hinged on a horizontal surface. The load touches a wedge of mass M in this position. A slight jerk towards right sets the system in motion (see figure), with rod rotating freely in vertical plane about its lower end. There is no friction. (a) For what mass ratio M/m will the rod form an angletheta=pi//3 with the vertical at the moment the load separates from the wedge?(b) What is speed of the wedge at that moment? Neglect friction.
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