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Homework Statement
(The picture is having trouble being directed so I attached it)
Hey guys, I'm trying to figure out the normal modes of a pendulum with two different masses. The lengths of the strings are the same and the weight of the strings are negligible.
I can easily find everything if the masses are equal but when the masses are different it kind of screws me up.
Homework Equations
F=ma
F_{s}=k(x_{1}x_{2})=kΔx
m_{1}*a_{1}=m_{1}*g*(x_{1}/l)kΔx
m_{2}*a_{2}=m_{2}*g*(x_{2}/l)kΔx
The Attempt at a Solution
x(double dot)_{n}=a_{n}
Working it all out I get:
a_{1}+a_{2}+(g/l)*(x_{1}+x_{2})+Δx((k/m_{1})(k/m_{2}))
This doesn't help me get a simple solution like x(t)=A*cos(ωt+[itex]\phi[/itex]) because of the addition of the Δx((k/m_{1})(k/m_{2}))
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