abeltyukov
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Hi,
There is an inverted cone with height h. There is a ball rolling around inside creating a horizontal circle. The height from the tip of the inverted cone to the ball is y. a is given from the center of the cone to the outer edge.
The question asks to express the ball's speed in terms of a, h, y, and g.
I am confused as to why a is shown from the center of the cone to the edge. Is a in this case the same as acceleration?
I know a = w^2 * r as well as a = (v^2)/r
I have the forces in the y-direction: N = mg
I have the forces in the x-direction: (h-y)sin(theta) = (mv^2)/r
I believe I am screwing up on the x-direction forces. Any suggestions?
Thank you very much,
Alex
There is an inverted cone with height h. There is a ball rolling around inside creating a horizontal circle. The height from the tip of the inverted cone to the ball is y. a is given from the center of the cone to the outer edge.
The question asks to express the ball's speed in terms of a, h, y, and g.
I am confused as to why a is shown from the center of the cone to the edge. Is a in this case the same as acceleration?
I know a = w^2 * r as well as a = (v^2)/r
I have the forces in the y-direction: N = mg
I have the forces in the x-direction: (h-y)sin(theta) = (mv^2)/r
I believe I am screwing up on the x-direction forces. Any suggestions?
Thank you very much,
Alex