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## Homework Statement

A rope of mass m forming a circle is placed over a smooth round cone with half angle θ. Find the tension in the rope .

## Homework Equations

## The Attempt at a Solution

Since the half angle is θ , the normal force N acts at an angle θ with the horizontal . The weight acts downwards.

Assuming (since I am not sure ) that the tension T acts towards the center of the circle formed by the rope , doing the force balance ,

Ncosθ = T

Nsinθ = mg

So,tension T = mgcotθ .

I don't have the answer key ,so is this the correct answer ? I somehow have the feeling that this is incorrect .

Many thanks .