Circular Motion/Centripetal Forces

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Homework Help Overview

The discussion revolves around a problem involving circular motion and centripetal forces, specifically analyzing the maximum speed of a mass attached to a string being whirled in a horizontal circular path. The original poster presents a scenario with given mass, string length, and maximum tension.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law and centripetal acceleration equations. The original poster expresses uncertainty about the relevance of mass in the problem. Others attempt to derive the maximum speed using provided equations and question the implications of the horizontal setup.

Discussion Status

There is an ongoing exploration of the problem with some participants providing calculations and affirmations of correctness. The discussion includes considerations of how the scenario would change if the motion were not horizontal, indicating a productive exchange of ideas without reaching a definitive conclusion.

Contextual Notes

Participants are navigating the constraints of the problem, including the maximum tension and the nature of the motion (horizontal vs. vertical), while questioning the role of gravitational forces in the context of centripetal motion.

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Homework Statement


A 2.1 kg mass is attached to the end of a .5m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 80N, what is the maximum speed in m/s of the mass if the string is not to break?


Homework Equations



Ac=v2/r


The Attempt at a Solution


I have no idea how to go about solving this. I don't know what mass has to do with anything...
 
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You have the right equation for a, just put it into Newton's second law.
 
F=ma, so 80N=2.1a so 38.1=a

Ac=v2/r, so 38.1=v^2/.5

So v^2=19.05, so v = 4.36

Is that right?
 
Yes

So the Fnet is the Ft and it is equal to mv^/r

But the key word in this questions is its horizantal. Do you know what would be diffirent if it wasnt horizantal?
 
I imagine it would be the acceleration, because the direction of motion would be changed. Or does that not matter, like trajectories?
 
If it is horizantal the only thing would be different is that gravity acting on the object that is spinning should also be factored in into the Fnet formula.

So at the top

Fc= Ft + Fg

Bottom

Fc= Ft-Fg
 

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