Moment Of Inertia
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Object Solid Disk
MOMENT OF INERTIA OF VARIOUS OBJECTS Axis of Rotation Diagram Moment of Inertia Central axis of disk ½ MR2
Solid Disk
Axis at Rim
3
/2 MR2
Disk with a Hole
Axis at center
½ M(a2+b2)
Cylindrical Shell
Axis at center
½ M(a2+b2)
Solid Cylinder
Central axis of cylinder
½ MR2
Solid Cylinder
Axis on surface
3
/2 MR2
Hallow cylinder
Central axis of hallow cylinder
MR2
Hallow cylinder
Axis on surface
2MR2
Solid Sphere
Central axis of sphere
2
Solid Sphere
Axis on surface
7
Hoop
Central axis of hoop
MR2
Hoop
Axis through central diameter
½ MR2 + 1/12 Mw2
/5 MR2
/5 MR2
/12 M(a2+b2)
Rectangular plate
Axis through center
1
Rectangular plate
Axis through center, in plane of plate
1
Thin Rod
Axis through mid point
1
Thin Rod
Axis at one end
1
/12 ML2
/12 ML2
/3 ML2
MOMENT OF INERTIA OF VARIOUS OBJECTS Axis of Rotation Diagram Moment of Inertia Central axis of disk ½ MR2
Solid Disk
Axis at Rim
3
/2 MR2
Disk with a Hole
Axis at center
½ M(a2+b2)
Cylindrical Shell
Axis at center
½ M(a2+b2)
Solid Cylinder
Central axis of cylinder
½ MR2
Solid Cylinder
Axis on surface
3
/2 MR2
Hallow cylinder
Central axis of hallow cylinder
MR2
Hallow cylinder
Axis on surface
2MR2
Solid Sphere
Central axis of sphere
2
Solid Sphere
Axis on surface
7
Hoop
Central axis of hoop
MR2
Hoop
Axis through central diameter
½ MR2 + 1/12 Mw2
/5 MR2
/5 MR2
/12 M(a2+b2)
Rectangular plate
Axis through center
1
Rectangular plate
Axis through center, in plane of plate
1
Thin Rod
Axis through mid point
1
Thin Rod
Axis at one end
1
/12 ML2
/12 ML2
/3 ML2
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