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 .
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 .