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AngularVelocity — Extraction of angular velocity between triads [mathematica]

AngularVelocity[a1,a2]

a1, a2: name of defined triads

The function AngularVelocity returns the angular velocity of the triad a2 relative to the triad a1.

Remember to invoke DeclareStates prior to using AngularVelocity.

Restart; DeclareTriads[a,b]; DefineTriads[a,b,{q1,1},{q2,3},{q3,1}]; DeclareStates[q1,q2,q3]; AngularVelocity[a,b]

{ Type → "->" Vector , Size → "->" 1 , 1 → "->" { Coordinates → "->" { Cos [ q2 ] ⁢ q1 ′ + q3 ′ , - Cos [ q3 ] ⁢ Sin [ q2 ] ⁢ q1 ′ + Sin [ q3 ] ⁢ q2 ′ , Sin [ q2 ] ⁢ Sin [ q3 ] ⁢ q1 ′ + Cos [ q3 ] ⁢ q2 ′ } , Triad → "->" b } }


Toolbox functions