309x Filetype PDF File size 1.00 MB Source: cseweb.ucsd.edu
Rigid Body Dynamics 2
CSE169: Computer Animation
Instructor: Steve Rotenberg
UCSD, Spring 2016
Cross Product & Hat Operator
Derivative of a Rotating Vector
Let’s say that vector r is rotating around the
origin, maintaining a fixed distance
At any instant, it has an angular velocity of ω
dr r ω
dt ωr
ωr
Product Rule
The product rule of differential calculus can be
extended to vector and matrix products as well
d ab dabadb
dt dt dt
d ab dabadb
dt dt dt
dAB dABAdB
dt dt dt
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