A particle of mass m = 2kg is placed on the top of a hemisphere of M 4 kg. The hemisphere is placed on smooth ground. The particle is displaced gently. Then ratio of normal and pseudo force(seen from hemisphere frame) acting on particle when theta = 30 degree. Assume particle remain in contact with hemisphere.

Joshi sir comment

Let the acceleration of hemisphere is ah N sinθ = Mah N/mah = M/msinθ  Here pseudo force is considered due to acceleration of hemisphere 

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