- #1
aseylys
- 22
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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
Fs=k(x1-x2)=kΔx
m1*a1=-m1*g*(x1/l)-kΔx
m2*a2=-m2*g*(x2/l)-kΔx
The Attempt at a Solution
x(double dot)n=an
Working it all out I get:
a1+a2+(g/l)*(x1+x2)+Δx((k/m1)-(k/m2))
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/m1)-(k/m2))