(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the natural frequency of the system in the figure (attached). Assume the pulleys are frictionless and are of negligible mass.

2. Relevant equations

k_eq=k_1+k_2 (springs connected in parallel)

k_eq=(1/k_1)+(1/k_2) (springs connected in series)

omega=sqrt(k/m)

3. The attempt at a solution

I am stuck on figuring out if the springs are connected in parallel, or in series.

I think it is in parallel because when the mass is placed there, both springs get displaced by the same amount.

Once I figure out if it's parallel of series I can then easily find k_eq and treat the two springs as one. The mass will undergo undamped simple harmonic motion with a frequency of sqrt(k_eq/m).

I am afraid that I am on the wrong track...to think that I can simply combine the springs into one?

Thanks for the help, I really appreciate it.

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# Springs connected in series or in parallel?

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