Name | Picture | Dimensions | Defining Equation | Principal Moments about O | ||
---|---|---|---|---|---|---|
I_{x} | I_{y} | I_{z} | ||||
Solid Cuboid |
sides: 2a, 2b, 2c |
-a < x < a
-b < y < b -c < z < c |
^{1}/_{3}M(b^{2}+c^{2}) | ^{1}/_{3}M(c^{2}+a^{2}) | ^{1}/_{3}M(a^{2}+b^{2}) | |
Solid Cylinder |
radius, a
height, 2h |
x^{2} + y^{2}
< a^{2}
-h < z < h |
^{1}/_{4}Ma^{2} + ^{1}/_{3}Mh^{2} | ^{1}/_{2}Ma^{2} | ||
Solid Cone |
radius, a
height, 2h |
x^{2} + y^{2}
< (az/h)^{2}
0 < z < h |
^{3}/_{20}Ma^{2} + ^{3}/_{5}Mh^{2} | ^{3}/_{10}Ma^{2} | ||
Solid Sphere |
radius, a | x^{2} + y^{2} + z^{2} < a^{2} | ^{2}/_{5}Ma^{2} | |||
Spherical Shell |
radius, a | x^{2} + y^{2} + z^{2} = a^{2} | ^{2}/_{3}Ma^{2} |