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## Physics 321

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**Physics 321**Hour 24 Accelerating Reference Frames I**Glass of water in a car**• Tides Examples**Euler’s Theorem**• Any tiny rotation can be considered as a rotation about a fixed axis. • (Complex rotations can be taken to be a series of infinitesimal rotations.) • Tiny rotations commute. • (Larger rotations do not commute.) Two Angular Momentum Theorems**Any unit vector can be written as**In general where S0 is the lab (inertial) frame and S’ is a frame rotating with angular velocity . Proof**Angular velocity vector (r.h.r.)**• Let be a unit vector fixed in a body • In particular • In general Angular Velocity