cool wedge

Classical Mechanics Level pending

A semicircular wedge of radius 'R' and mass 'M' is kept on a smooth floor free to slide. A block of mass 'M' is kept at the top of the wedge. The system is released from rest. Find the velocity of the wedge when line joining the center of the semicircle and the block makes 45 degree with the vertical as shown in the figure.

Details and assumptions: - M=1Kg ,
R=1metre , acceleration due to gravity=10m/s*s

Give your answer correct to one decimal place.


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