How Does a Spring Constant Affect Circular Motion on a Frictionless Table?

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Homework Help Overview

The discussion revolves around a problem involving a mass connected to a spring on a frictionless table, exploring how the spring constant affects circular motion. The scenario includes a 2.3 kg mass, a spring with a specified spring constant, and a given velocity for circular motion.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to determine the radius of the mass's circular path and question the missing information regarding the spring's extension. There is also a reference to relevant equations involving force and spring behavior.

Discussion Status

The conversation is ongoing, with participants seeking clarification on the necessary information to proceed. Some guidance has been offered regarding the relationship between the equations, but no consensus has been reached on how to resolve the problem.

Contextual Notes

Participants note that the extension of the spring is not provided, which is critical for solving the problem. This missing information is acknowledged as a constraint in the discussion.

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Homework Statement


A 2.3 kg mass is connected to a spring with spring constant k = 180 N/m and unstretched length 17 cm. The pair are mounted on a frictionless air table, with the free end of the spring attached to a frictionless pivot. The mass is set into circular motion at 1.6 m/s .


Homework Equations


F=ma=(mv^2)/r F=kx ...not really sure


The Attempt at a Solution


I don't know how to even start it :(
 
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What do you need to get in the first place?
 
oh sorry! the radius of its path.
 
acg7160 said:
oh sorry! the radius of its path.

well you were not given the extension so you are missing some information. You were correct in equation mv2/r to kx.
 
That's all I was given...
 

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