Motion on hemisphere

mercredi 2 avril 2014

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



will the velocity of the block/hemisphere change with time or will they remain constant ?? Can we apply rotational motion concepts ?? If we apply conservation of momentum then how will the momentum be conserved in the y-axis ??



Nothing i do seems to give me the correct answer!! I really am at loss here! I would really appreciate any help and clarity regarding the problem !




Attached Images





File Type: png Hemisphere.png (2.5 KB)







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