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  4. A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the lowest point of circle/loop:

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Q. A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the lowest point of circle/loop:

Work, Energy and Power

Solution:

At the lowest position $v=\sqrt{g R}$
Centripetal acceleration $a_{c}=\frac{v^{2}}{R}=\frac{(\sqrt{g R})^{2}}{R}=g$