[UPDATE 22/08/2014: Corrected a misprint in the formula for Ix. See comment below.]
Using the moments of inertia calculated in the previous post for the hemisphere (and taking for granted those of the cylinder), we can now determine those of a spherocylinder.
Using the moments of inertia calculated in the previous post for the hemisphere (and taking for granted those of the cylinder), we can now determine those of a spherocylinder.
The height of the cylinder is h, while its radius (and that of the spherical caps) is R.
Iz is easy to determine by summing the corresponding moments of the cylinder and of the two hemispheres: Iz=ρmcR22+2ρmh25R2. Developing mc and mh and introducing the aspect ratio γ=1+h2R yields:
Iz=πρR5[(γ−1)+815]
Iz=πρR5[(γ−1)+815]