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Coplanarity in a torque-free axisymmetric rigid body
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Physics
Branch of physics
Classical mechanics
Rigid body dynamics
Euler equations for a torque-free rigid body
Created
2026-09-24
Updated
2026-09-24
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For principal moments
I
1
=
I
2
=
I
and
symmetry
-axis
unit vector
e
3
,
angular momentum
and
angular velocity
obey
L
=
I
ω
+
(
I
3
−
I
)
ω
3
e
3
.
(1)
Thus
L
,
ω
, and the
symmetry
axis are coplanar at every
instant
.
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Euler equations for a torque-free rigid body
Rigid body dynamics
Classical mechanics
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 2
/
8D
/
Solution
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