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Rotating systems
A Nexus mindmap
Lagrangian of free particle
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http://www.youtube.com/watch?v=Pb69HENUZs8
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http://www.ems.psu.edu/~fraser/Bad/BadCoriolis.html
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Local file (mp4)
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Equations
of motion
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Solution
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Free particle in 2D in a
rotating co-ordinate system
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Cartesian Co-ordinates
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Not so clear what Newton's
laws should look like
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We can split up the
forces easily enough
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Polar co-ordinates
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Relationship between
polar and cartesian
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The Euler-Lagrange equations will be
the same form in polar co-ordinates, so
use them to find the RHS
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Lagrangian
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Newton's 2nd law in
polar co-ordinates
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Rotating systems