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Moment of inertia of a solid cone about its vertex
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Rigid body dynamics
Moment of inertia
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For a uniform solid cone of height
l
, base radius
R
, and mass
M
, whose symmetry axis points from vertex to base, the centre of mass lies at
3
l
/4
from the vertex. The principal moments at the vertex are
I
1
=
I
2
=
20
3
M
(
R
2
+
4
l
2
)
,
I
3
=
10
3
M
R
2
.
(31)
Ancestors
(6)
Moment of inertia
Rigid body dynamics
Classical mechanics
Branch of physics
Physics
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