Tension from string upon a rock

AI Thread Summary
The discussion revolves around calculating the tension in a string connecting two 3 kg masses, one at 0.5m and the other at 1.5m, while they are swung at 2 revolutions per second. The key question is the relationship between the tension experienced by the mass further from the hand and the tension near the hand. A hint suggests that proportions can be used to solve the problem without needing to determine the exact centripetal forces. Clarification is sought regarding whether the masses are connected directly or in a head-to-tail manner. Understanding the centripetal force acting on each mass at their respective radii is crucial for solving the problem.
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Homework Statement


Two 3 kg masses are attached to a string at r1=.5m and r2=1.5m from where the string is held in your hand. You swing them around together at 2 revolutions per second, each of them. The tension holding mass 2 (the distant part of the string) is what fraction of the tension near your hand?


Homework Equations



No Idea.

The Attempt at a Solution


No idea how to figure this problem out.
 
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Are the blocks tied together in some way?

Like head to tail?
 
Thanks.

That is all the information I received on the question.
A hint that was given was:[Hint: you can work in proportions without having to numerically solve for either of the centripetal forces required on the two masses]
 
I read it more carefully. Apparently it is tied to the same string at each of the 2 radii.

What is the force of a single mass at some radius rotating in a circle?
 
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