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The equation of motion of the pendulum is nonlinear because of the term 02sin
. For small angles,
the nonlinear terms can be linearized, i.e.,
=
+ O(
3)
= 1 + O(
2).
Thus the linearized equations of motion read
(horizontal motion) |
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(vertical motion) |
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(rotation) |
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Additional comments:
QUESTION worth to think about: |
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