|
Moments of Inertia
| Object |
Location
of Axis |
|
Moment
of Inertia |
Radius of
Gyration |
| Thin Loop of radius, R |
Through
Center |
 |
MR2 |
R |
| Uniform cylinder of radius, R |
Through
Center |
 |
1/2 MR2 |
R
----
2 1/2 |
| Uniform sphere of radius, R |
Through
Center |
 |
2/5 MR2 |
2
( -- )1/2 R
5 |
| Long uniform rod of length, L |
Through
Center |
 |
1/12 ML2 |
L
---------
12 1/2 |
| Long uniform rod of length, L |
Through
End |
 |
1/3 ML2 |
L
----------
3 1/2 |
|
