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 ??