Tough Imagination

A small block of mass m is placed on top of a smooth hemisphere which is also of mass m and is placed on a smooth horizontal surface. If the block begins to slide down due to a negligible small impulse, it makes an angle theta along the radial line with the vertical when the block looses contact with the hemisphere.

-The answer will be in the form of a^{3}+na+c=0 -Then find the value of {n+c}=

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