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Benzoate
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Homework Statement
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/: Go to the Homework section of the webpage, then go to assignment 5, then go to problem 5.2.
Homework Equations
F=k*eff*[tex]\Delta[/tex] x
[tex]\sqrt{k*eff/m}[/tex]=[tex]\Omega[/tex]
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 definitely
[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]
F1= ([tex]\Omega[/tex]1^2)*m*[tex]\Delta[/tex] x
F2= ([tex]\Omega[/tex]2^2)*m*([tex]\Delta[/tex] x)
Not sure what my next step should be after that
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