Mass spring system - unknown spring constant

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Homework Help Overview

The discussion revolves around a mass-spring system where the original poster is attempting to solve for the spring constant k1, given the natural frequency and a relationship between k1 and another spring constant k2. The context involves understanding the dynamics of mass-spring systems and the implications of the spring constants involved.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate k1 using the natural frequency formula but expresses confusion over their result compared to the expected solution. Participants question the assumptions made about the system, including the mass of the pulley and the arrangement of the springs.

Discussion Status

Participants are actively engaging with the original poster's calculations and assumptions. Some guidance has been offered regarding the interpretation of the spring constants and the arrangement of the system. There is an acknowledgment of a mistake in the calculation approach, and the original poster expresses a willingness to continue asking questions.

Contextual Notes

There is a mention of missing information regarding the mass of the pulley, which may affect the calculations. The original poster also references a previous thread that discusses combining equivalent spring constants, indicating a potential misunderstanding of the system's configuration.

Devtycoon
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Homework Statement

Problem: [/B]
Given the mass spring system solve for k1
Snapshot.jpg

The natural frequency wn = 10 s-1
k1=2k2
m=1kg

Homework Equations


wn=(k/m).5

The Attempt at a Solution



solve for k1

m x w2n =2.5k1
k1 = 40 N/mNote: I calculate 40 N/m and the solution states 250 N/m. I think I am having a fundamental misunderstanding with mass spring systems.
Snapshot.jpg


 
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Is the pulley mass less?
 
yes, I should have put that in the problem stmt.
 
Your determination of the overall spring constant is incorrect. The 2.5 should be in the denominator.

Chet
 
Any particular reason?
 
Devtycoon said:
Any particular reason?
Show us what you did, and I'll show you where you made your error.
 

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