A simple angular velocity with two spheres problem

AI Thread Summary
The problem involves two equal masses tied together in a rotating hollow cylinder, with a focus on the tension in the string as the cylinder rotates at angular speed ω. The tension T is correctly identified as T = mrω² for each mass, not 2mrω², since tension is a force acting on each mass individually. When the string breaks, both masses will move outward due to the centrifugal force acting on them. The discussion clarifies that tension in a rope or string does not double when multiple masses are involved; it remains the force acting on each mass separately. Understanding this concept is crucial for solving similar physics problems.
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Homework Statement


Two masses have same mass m, both of them are tied by a string and put in a hollow cylinder.
When the cylinder start to rotate until the angular speed is ω.
The tension in the string is T and the string breaks, both masses move away from the axis in the hollow cylinder.

XRuP0Nw.png


Homework Equations


T=mrω^2

The Attempt at a Solution


I have no idea about whether the tension T is equal to mrω^2 or 2mrω^2 (since there is two masses)
Please help!:cry:
sorry for my bad english
 
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If you pull a spring with a force F, the spring pulls back with a force F. The tension in the spring is F, not 2F.
Same with a rope. In the situation described, but e.g. also if the rope hangs over a pulley and the two masses both pull down with ##mg##. Tension is ##mg##, not ##2mg##
 
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