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Moment of inertia of a solid cone about its vertex
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Physics
Branch of physics
Classical mechanics
Rigid body dynamics
Moment of inertia
Created
2026-09-24
Updated
2026-09-24
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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
.
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Moment of inertia
Rigid body dynamics
Classical mechanics
Branch of physics
Physics
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