Mass spring system - unknown spring constant

[Devtycoon]

Homework Statement

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

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

Homework Equations

w_n=(k/m)^.5

The Attempt at a Solution

solve for k₁

m x w²_n =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.

 

[Titan97]

Is the pulley mass less?

 

[Devtycoon]

yes, I should have put that in the problem stmt.

 

[Chestermiller]

Your determination of the overall spring constant is incorrect. The 2.5 should be in the denominator.

Chet

 

[Devtycoon]

Any particular reason?

 

[Chestermiller]

Any particular reason?

Show us what you did, and I'll show you where you made your error.

 

[Devtycoon]

https://www.physicsforums.com/threads/spring-constant-in-mass-spring-combinations.712165/
This thread shows how to combine equivalent spring constants in different arrangements. I was adding them all in parallel. I see my mistake now. Thanks Chet, I'll keep the questions coming.