Uniform Circular Motion Problem. Help

AI Thread Summary
The problem involves a stone tied to a string being whirled in both horizontal and vertical circles, with the vertical tension being 15% greater than the horizontal tension. The relevant equations include centripetal force for both cases, with the vertical scenario accounting for gravitational force. To solve for the speed of the stone, a relationship between speed, string length, and tension needs to be established. The discussion emphasizes the need to analyze the horizontal forces in detail to derive the necessary equations. Understanding these relationships is crucial for determining the stone's speed accurately.
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Homework Statement


A stone tied to a string with length 1.10 m is whirled in a circle both horizontally and vertically with the same constant speed. In the vertical case the maximum tension in the string is 15.0% larger than the tension that exists when the string was horizontal. Determine the speed of the stone.

Homework Equations


a = v2/r

The Attempt at a Solution


for horizontal, my equation was Fc = mv2/r

for vertical, my equation was Fc = Ft - mg, because at the bottom of the vertical circle fg is present
mv2/r = 0.15Ft - mg

I don't know how to take this further
 
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Consider the horizontal case in more detail. There are vertical forces too. You should be able to find a relationship between the speed, the string length, and the tension.
 
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