Solve the following

Solve the following 5. A smooth hemisphére of mass M is kept on a smooth surface. A block of mass m (=M/3) is kept On the top of the hemisphere as shown in the figure. The hemisphere is displaced slightly and both the hemisphere and the block Starts moving. At an angle 9 with the vertical (subtended by the M block at the centre of the hemisphere), the relation between the velocity Of the block (V) and the velocity of the hemisphere is (V is the velocity of the block w.r.t the hemisphere at that instant.) = — cos O 4 (B) (D) vo = V cos0 —cos0 2

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