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This lecture develops the transport theorem for vector derivatives in rotating and translating reference frames. Worked examples include a cannon, oscillatory motion, a turntable, and the rotating Earth.
Syllabus
Review of vector manipulations.
matrix way to write cross-product, and the tilde matrix.
Transport Theorem for vector derivatives (transport equation).
Example using cannon seen in rotating frame.
Oscillatory motion seen in rotating frame.
Turntable worked example of vector derivative.
Example of transport theorem for rotating Earth.
Transport theorem for frames that are translating and rotating .
Taught by
Ross Dynamics Lab