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This list of moment of inertia tensors is given for principal axes of each object.
{|class="wikitable"
|-
! Description || Figure || Moment of inertia tensor || Comment
|-
| Solid sphere of radius ''r'' and mass ''m''
||
|| $$
I =
egin{bmatrix}
rac{2}{5} m r^2 & 0 & 0 \
0 & rac{2}{5} m r^2 & 0 \
0 & 0 & rac{2}{5} m r^2
end{bmatrix}

|| —
|-
|Hollow sphere of radius ''r'' and mass ''m''||||
$$
I =
egin{bmatrix}
rac{2}{3} m r^2 & 0 & 0 \
0 & rac{2}{3} m r^2 & 0 \
0 & 0 & rac{2}{3} m r^2
end{bmatrix}

||—
|-
| Right circular cone with radius ''r'', height ''h'' and mass ''m''
||
|| $$
I =
egin{bmatrix}
rac{1}{10} m h^2 + rac{3}{20} m r^2 & 0 & 0 \
0 & rac{1}{10} m h^2 + rac{3}{20} m r^2 & 0 \
0 & 0 & rac{3}{10} m r^2
end{bmatrix}

|| —
|-
| Solid cuboid of width w, height h, depth d, and mass m
||
|| $$
I =
egin{bmatrix}
rac{1}{12} m (h^2 + d^2) & 0 & 0 \
0 & rac{1}{12} m (w^2 + d^2) & 0 \
0 & 0 & rac{1}{12} m (w^2 + h^2)
end{bmatrix}

|| —
|-
|slender rod of length ''l'' and mass ''m'' about end|| ||
$$
I =
egin{bmatrix}
rac{1}{3} m l^2 & 0 & 0 \
0 & rac{1}{3} m l^2 & 0 \
0 & 0 & 0
end{bmatrix}

||—
|-
|Slender rod of length ''l'' and mass ''m'' about center|| ||
$$
I =
egin{bmatrix}
rac{1}{12} m l^2 & 0 & 0 \
0 & rac{1}{12} m l^2 & 0 \
0 & 0 & 0
end{bmatrix}

||—
|}

Contents

See also

See also

★ Moment of inertia

★ List of moments of inertia

★ List of area moments of inertia