Finding a relationship for the ball's speed with the following clues.

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SUMMARY

The discussion focuses on deriving an expression for the speed of a ball rolling in a horizontal circle inside a cone, utilizing variables such as radius (r), height (x), density (p), and gravitational acceleration (g = 9.81 m/s²). Participants emphasize the importance of analyzing the forces acting on the ball, particularly through the use of a force diagram to identify which forces must balance. The challenge lies in establishing a relationship between these variables to express the ball's speed accurately.

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Homework Statement


A ball rolls around a horizontal circle at height y inside the cone shown below. Find an
expression for the ball’s speed in terms of r(radius of cone),x(height of cone),p and g(9.81ms^-2).
CCF07102013_00000.jpg







Homework Statement



r(radius of cone),x(height of cone),p and g(9.81ms^-2).




The Attempt at a Solution


i came across this question from a friend's tutorial but i stared at it whole day. can't think of any solutions,cant think of even where to start.

i tried using the variable g to form any possible relationship i could think of but the ball is moving in a horizontal circle..
 
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I would start by drawing a force diagram. What forces are acting on the ball? Which forces have to sum to zero?
 

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