A particle rests on the top of a hemisphere of radius 𝑅. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down it

Question: A particle rests on the top of a hemisphere of radius 𝑅. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down it

(A) \sqrt{gR}

(B) \sqrt{2gR}

(C) \sqrt{3gR}

(D) \sqrt{5gR}

Answer: option (A)

Solution:

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