(adsbygoogle = window.adsbygoogle || []).push({}); Doughnut Calculus!!!

Hey guys, I need help with a somewhat big Calculus IV problem. We are reviewing double and triple integrals in polar coordinates. So here is my problem:

Work out the mass, 2nd moment, and radius of gyration for a doughnut shaped yoyo about both [tex]x[/tex] and [tex]y[/tex] axes...

I know the following equations: mass = [tex]\iint_{D} \rho(x,y) dA[/tex]

[tex] R= {sqrt{(I/M)}}[/tex] , where I is the moment of inertia and M is the mass of the lamina (object).

Have no clue about what 2nd moment is? is this like another calculation of moments of inertia or moment about an axis?

Anyways, can someone help me get started on this one please?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Doughnut Calculus

**Physics Forums | Science Articles, Homework Help, Discussion**