F = m * (0.85 Hz)^2 * 2πm = F / (0.85 Hz)^2 * 2π Calculate Mass of Skaters

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Homework Help Overview

The problem involves two identical ice skaters holding onto a spring while spinning in a circle, with the goal of determining their mass based on the given frequency of revolution and spring constant.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between frequency, spring constant, and mass, with some referencing equations related to circular motion and simple harmonic motion. Questions arise regarding the interpretation of mass in relation to the system of two skaters.

Discussion Status

The discussion includes various interpretations of the mass involved in the system, with some participants suggesting that the mass should be considered as double, while others challenge this notion and provide alternative perspectives on the setup of the problem.

Contextual Notes

Participants are navigating the implications of the spring constant and the configuration of the skaters in circular motion, questioning assumptions about the system's dynamics and the effective mass in the equations used.

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Homework Statement


Two identical ice skaters are holding onto opposite ends of a very long spring with a spring constant of 650 N/m. While spinning in a circle, the skaters frequency of revolution is measured to be 0.85 Hz. What is the mass of the skaters?


Homework Equations


F = kx


The Attempt at a Solution


F = (650 N/m)x ?
 
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Remember, circular motion is the resultant of two perpendicular SHM with the same frequency and amplitude and phase difference of pi/2. ehild
 
Oh so then u use the equation
f=(1/2∏)√(k/m)
And the m needs to be 2m...ok got it!

Thank you!
 
No, m is not twice that of one skater-just the opposite.

Both skaters spin along the same circle. The situation is the same for each of them as if there was a pole at the centre, and half of the spring connected to the pole with one end and the other end to the skater. What is the spring constant of a halved spring?

ehild
 

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