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

When a body is suspended from a fixed point by a certain linear spring, the angular frequency of the vertical oscillations is found to be [tex]\Omega[/tex]_{1}. When a different linear spring is used, the oscillations have angular frequency . [tex]\Omega[/tex]_{2}. Find the angular frequency of vertical oscillations when two springs are used together in parallel.

Here is a link to the problem that provides hints to the problem: http://courses.ncsu.edu/py411/lec/001/: [Broken] Go to the Homework section of the webpage, then go to assignment 5, then go to problem 5.2.

2. Relevant equations

F=k*_{eff}*[tex]\Delta[/tex] x

[tex]\sqrt{k*_{eff}/m}[/tex]=[tex]\Omega[/tex]

3. The attempt at a solution

The hint to the problem says I need to calculate restoring force for each cases.

For the parallel case, would each of the two springs exert a contact force on each other since both bodies would be attached to two different springs?

For the series case, both bodies would be in line with each other; would body would behind or in front of the other body, while sharing an attached spring; therefore I know that there is definetely

[tex]\sqrt{k*(_{1})/(m)}[/tex]=[tex]\Omega[/tex]_{1}==>

[tex]\Omega[/tex]_{1}^2=[tex]k*_{1}/m}[/tex]

[tex]\Omega[/tex]_{2}^2=[tex]k*_{2}/m}[/tex]

F_{1}= ([tex]\Omega[/tex]_{1}^2)*m*[tex]\Delta[/tex] x

F_{2}= ([tex]\Omega[/tex]_{2}^2)*m*([tex]\Delta[/tex] x)

Not sure what my next step should be after that

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# Homework Help: Body suspended from a linear spring

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