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## Homework Statement

A marble rolls down a track and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off?

## Homework Equations

mgh = 1/2mv^2 + 1/2Iw^2

## The Attempt at a Solution

mgh= 1/2mv^2 + 1/2mr^2*v^2/r^2

gh=1/2v^2 +v^2

h=3/*2(v^2)/g

At the top of the loop

n+mg=mv^2 /r

it just need the minimum velocity therefore the normal will be zero

v=√gr

h=3/2*r which is incorrect please help