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d
L
/dt =
τ
For
one
rotating particle of mass
m
one has
d
L
/d
t
= m d
r
/d
t
×
v
+ m
r
× d
v
/d
t
= m
v
×
v
+ m
r
×
a
= 0 +
r
×
F
=
τ
This is a more general proof for
I d
ω
/d
t
=
τ
.
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