Two dimensional velocity analysis

1. The problem statement, all variables and given/known data

A smooth hemisphere of mass M is kept on smooth surface. A block of mass m=M/3 is kept on top of the hemisphere. The Hemisphere is displaced slightly and both the hemisphere and the block start moving. At an angle θ with the vertical(subtended by the block at the center of the hemisphere) the relation between velocity of the block(V) and the velocity of the hemisphere(vo) is ??

V is the velocity of the block w.r.t the hemisphere at that instant

2. Relevant equations

Conservation of energy :- KE+PE = constant.
Conservation of momentum m1v1 + m2v2 = m1v1′ + m2v2′

3. The attempt at a solution

I tried conserving momentum along x-axis as such
mV-Mv0 = 0;

How will the momentum in y- axis be conserved ?? What else can do besides momentum conservation ??

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