A frictionless track ABCDE ends in a circu

Your Ultimate Guide to JEE & NEET Question Solutions

A frictionless track $ABCDE$ ends in a circular loop of radius $R$. A body slides down the track from point $A$ which is at a height $h = 5\, cm$. Maximum value of $R$ for the body to successfully complete the loop is ........... $\mathrm{cm}$

A

$5$

B

$3.75$

C

$\frac{{10}}{3}$

D

$2 $

A frictionless track $ABCDE$ ends in a circular loop of radius $R$. A body slides down the track from point $A$ which is at a height $h = 5\, cm$. Maximum value of $R$ for the body to successfully complete the loop is ........... $\mathrm{cm}$

Condition for vertical looping $h = \frac{5}{2}r = 5cm$
$r = 2\, cm$