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## Homework Statement

Refer the given image. [Prob 2.9]

## Homework Equations

F=ma

## The Attempt at a Solution

I drew the normal vector perpendicular to the surface of the cone and resolved it as

##Nsin\theta=mg##

##Ncos\theta=\frac {mv_{0}^2} {r}## where ##v_{0}## and ##r## are the speed and radius of the trajectory respectively.

Solving for ##r## we get,

##r=\frac {v_{0}^2} {g}tan\theta##

My doubt is however is on the matter of resolving the required vectors. Is it necessary to resolve the normal reaction into components or is it correct to resolve ##mg## along the normal and along the lateral surface of the cone? Similar situations arise when solving problems related to pendulums. I get confused whether tension vector must be resolved or mg.

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