Show equivalence of two versions of angular momentum equations by vector math.
I need to show that the following two terms are equivalent:
l = m(r2I - rr)xΩ
l = r x mv = r x m(Ωx r)
where
r is the position vector from the origin to the particle
l is the angular momentum
I is the identity tensor
Ω is the vector angular velocity
x indicates a cross product
rr is a dyadic product.
https://brainmass.com/math/vector-calculus/equivalence-versions-angular-momentum-equations-30238
Solution Summary
Equivalence of two versions of angular momentum equations is shown by vector math. The solution is detailed and well presented.
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