Cuboid
2a, 2b, 2c
-b < y < b
-c < z < c
Cylinder
height, 2h
-h < z < h
Cone
height, 2h
0 < z < h
Sphere
Shell
| Name | Picture | Dimensions | Defining Equation | Principal Moments about O | ||
|---|---|---|---|---|---|---|
| Ix | Iy | Iz | ||||
| Solid Cuboid |
|
sides: 2a, 2b, 2c |
-a < x < a
-b < y < b -c < z < c |
1/3M(b2+c2) | 1/3M(c2+a2) | 1/3M(a2+b2) |
| Solid Cylinder |
|
radius, a
height, 2h |
x2 + y2
< a2
-h < z < h |
1/4Ma2 + 1/3Mh2 | 1/2Ma2 | |
| Solid Cone |
|
radius, a
height, 2h |
x2 + y2
< (az/h)2
0 < z < h |
3/20Ma2 + 3/5Mh2 | 3/10Ma2 | |
| Solid Sphere |
|
radius, a | x2 + y2 + z2 < a2 | 2/5Ma2 | ||
| Spherical Shell |
|
radius, a | x2 + y2 + z2 = a2 | 2/3Ma2 | ||