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doneky
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Homework Statement
A basin surrounding a drain has the shape of a circular cone opening upward, having everywhere an angle of 34.5° with the horizontal. A 28.5-g ice cube is set sliding around the cone without friction in a horizontal circle of radius R.
(a) Find the speed the ice cube must have as a function of R.
(b) Is any piece of data unnecessary for the solution? [YES]
(c) Suppose R is made two times larger. Will the required speed increase, decrease, or stay constant?
(d) Will the time required for each revolution increase, decrease, or stay constant?
If it changes, by what factor? (If it does not change, enter CONSTANT.)
(e) Do the answer to parts (c) and (d) seem contradictory? Explain.
Homework Equations
Sum of the forces = mac = mv2/R
The Attempt at a Solution
Attempted to draw a FBD and I still don't get it. From what I'm thinking, there's the force of gravity at an angle, and I guess that minus some sort of "normal" force would equal the centripetal force, but I don't think that's correct and I wouldn't even be able to get a normal force from that.