Prove that the object will detached from the hemisphere after attain a verti distance r/3 from it's initial po

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Prove that the object will detached from the hemisphere after attain a verti distance r/3 from it's initial po

[From: ] [author: ] [Date: 11-08-17] [Hit: ]

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a small object of mass m is resting at the top of a homosphere of radius r at started falling along the surface of the hemisphere.
Prove that the object will detached from the hemisphere after attaining a vertical distance r/3 from it's initial position.

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