Through a smooth fixed cylinder of radius R the axis of which is horizontal a...

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Through a smooth fixed cylinder of radius R the axis of which is horizontal a weightless rope is thrown to the ends of which a load and a thin uniform rod is attached as shown in the figure In the position of equilibrium rod makes an angle a 30 with the horizontal The distance from the end of rod to which the rope is attached to the point of contact of the rod and the cylinder is If mass M of rod is 6 kg 2 R then find the value of mass min kg m RAZ M

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