Name | Picture | Dimensions | Defining Equation | Principal Moments about O | ||
---|---|---|---|---|---|---|
I_{x} | I_{y} | I_{z} | ||||
Uniform Rod |
length, 2a | x = y = 0
-a < z < a |
^{1}/_{3}Ma^{2} | 0 | ||
Circular Rim |
radius, a | x^{2} + y^{2} = a^{2}
z = 0 |
^{1}/_{2}Ma^{2} | Ma^{2} | ||
Circular Disk |
radius, a | x^{2} + y^{2} < a^{2}
z = 0 |
^{1}/_{4}Ma^{2} | ^{1}/_{2}Ma^{2} | ||
Rectangular Lamina |
width, 2a
length, 2b |
-a < x < a
-b < y < b z = 0 |
^{1}/_{3}Mb^{2} | ^{1}/_{3}Ma^{2} | ^{1}/_{3}M(a^{2}+b^{2}) | |
Elliptical Disk |
principal semi-axes, a and b |
(x/a)^{2} + (y/b)^{2} < 1
z = 0 |
^{1}/_{4}Mb^{2} | ^{1}/_{4}Ma^{2} | ^{1}/_{4}M(a^{2}+b^{2}) | |
Annulus | radii, b < a | b^{2} < x^{2} + y^{2} < a^{2}
z = 0 |
^{1}/_{4}M(a^{2}+b^{2}) | ^{1}/_{2}M(a^{2}+b^{2}) |