Find the moment of inertia of a hollow cone (mass M, base radius R) around its symmetry axis.

Question

anonymous · Answer

do u know how to calculate moment of inertia in general?

anonymous · Answer

yes i know

anonymous · Answer

and do u know what is M.I of a ring ? about its centre through an axis perpendicular to it?

anonymous · Answer

yes mr^2

anonymous · Answer

then u can cut that cone into small small rings.. ( a differential ring if u may). and then integrate it over the entire cone ;-)
think about it!

anonymous · Answer

ok, i'll do, but what will final ans.

anonymous · Answer

i dunno :P.. i haven't done it.. just try and post ur work.. !

anonymous · Answer

so,funny.ok, i'll do and ll post ans :-)

anonymous · Answer

it will $$\frac{ 1 }{2}MR ^{2}$$

anonymous · Answer

seems legit.. so there u have it :D