- #1
RivalDestiny
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Homework Statement
A cone with height h and radius R. The radius R is located at the top of the cone. We have to find moment of inertia of the cone. The disc has a radius r, height of dz, and is located z below the circular surface with radius R.
Homework Equations
[tex]
dI = \frac{1}{2}\ dm\ r^2
[/tex]
dm=pdV
The Attempt at a Solution
I found dV first
dV = Area * dz
dV= pi*r^2 * dz
dm=p(pi*r^2*dz)
then I found r using ratios:
r/R=z/h
r=Rz/h
Substitued into
[tex]
dI = \frac{1}{2}\ dm\ r^2
[/tex]
I don't know what to do after I sub them all in...This is the first time I've looked at these sort of problems.