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Understanding circular motion

Posted: Thu Mar 09, 2017 6:18 pm
by TheNotoriousSc
Imagine a vertical cone that is in angle $θ$ with thee ground.

https://i.stack.imgur.com/CU2LP.png

In one of the cone's sides we place an object of mass m giving it a initial velocity v. Is it possible that our object, under only the effect of the normal force exerted to it by the cone and its weight, performs circular motion? If it is can this motion be uniform?

I feel that this is impossible because the normal force would always be less than the wight of the body and therefore there would always be a force dragging the object towards the center of the cone. However I have seen in textbooks that given an initial velocity large enough the object can perform circular motion. How is this possible?