GATE ME 2016 Set 1 — Question 17
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Engineering Mechanics → Dynamics → Work-Energy Formulation
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Question
A point mass is released from rest and slides down a spherical bowl (of radius ) from a height as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is
Correct answer
(C) √(2gH)
Solution
By applying the principle of conservation of energy between the initial point (at height ) and the bottom of the bowl:
Total Energy at top = Total Energy at bottom
Thus, the velocity at the bottom depends only on the height and acceleration due to gravity .
Total Energy at top = Total Energy at bottom
Thus, the velocity at the bottom depends only on the height and acceleration due to gravity .
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