Minimum Velocity to Complete Vertical Loop – Rankers Physics

Vertical Circular Motion: Practice Problem & Solution

What is the minimum velocity with which a body of mass $m$ must enter a vertical loop of radius $R$ so that it can complete the loop? (2016-I)
$\sqrt{gR}$
$\sqrt{2gR}$
$\sqrt{3gR}$
$\sqrt{5gR}$

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Vertical Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

To complete a vertical loop, the minimum velocity required at the lowest point is $\sqrt{5gR}$ to ensure zero tension at the highest point.

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