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Hells_Kitchen
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Homework Statement
Suppose you have the density of a disk given by σ=σ0*rn.
For n approaches infinity, find the limit of M.I. Interpret your result, which should be physical, reasonable and intuitively clear.
Homework Equations
Now i found the moment of intertia of the object to be
http://img233.imageshack.us/img233/84/problemou0.jpg
I am having trouble with the limit though because if I try to do Lo'Hopitals Rule on R^(n+4)/(n+4) it doesn't help and I am not sure if I can use just I = MR^2(n+2)/(n+4) and treat M as a constant but I don't think that would be possible since M is a function of n itself. When i try to figure the limit i get undefined solutions and I am not sure what that means physically. Can someone help please?
Thanks,
HK
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