The equations of motion of a Foucault pendulum is given by:
¨x=2ωsinλ˙y−gLx
¨y=−2ωsinλ˙x−gLy
where ω is the rotational frequency of the earth which has a value of 7.27x10−5, λ is the latitude of where the pendulum is, g is the acceleration due to gravity, L is the length of the pendulum's string. What I don't know is what does x and y represent? I have read some derivations of these equations but I really cant figure out what they are trying to say.
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