Horizontal circle inside a cone

AI Thread Summary
A 3kg ball moves in a horizontal circle inside a frictionless cone with a 2m radius and a 60-degree angle. To find the normal force and the time for one complete circle, apply Newton's second law for both horizontal and vertical forces. The centripetal force equation, Fc=mv^2/r, is essential for calculations. A diagram can help visualize the forces acting on the ball, including gravity and the normal force. Understanding the components of these forces is crucial for solving the problem effectively.
blazeuofa
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Homework Statement


A 3kg ball moves at constant speed in a horizontal circle on the inside of a cone. The radius of the circle is 2m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the cone is frictionless. Use \theta= 60degrees. Hint: apply Newton's second law horizontally and vertically.


Homework Equations



Fc=mv^2/r

3. The Attempt at a Solution [/b

I have absolutely no idea where to begin any help is greatly appreciated!
 
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blazeuofa said:

Homework Statement


A 3kg ball moves at constant speed in a horizontal circle on the inside of a cone. The radius of the circle is 2m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the cone is frictionless. Use \theta= 60degrees. Hint: apply Newton's second law horizontally and vertically.


Homework Equations



Fc=mv^2/r

Draw a diagram.

What direction is your centripetal force?
What direction is gravity?

Which components of these forces are acting normal to the surface of the cone?
 

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