Recent content by mbcrute

Thank you so so much for this! This is exactly the kind of thing I was looking for. The whole process is much more clear to me now.

I'm really trying to understand this but I'm just not wrapping my head around what you're trying to tell me. Where does r^2 = x^2 + y^2 + z^2 come from? If I solve that for r and plug it back into the given expression for ρ I have three variables - x, y, and z. I'm not at all familiar with...

I'm really not sure what to do with this. I think I get the part about using the expression \frac{1}{2}y^2 dm to sum the moments of small disks about the z axis but I have no clue how to apply that to this problem. How do I find y? And when I plug the expression given for ρ back into this...

Like I said in the original post, I took the equation for the moment of inertia for a solid sphere, plugged in my expression for dM and the expression for ρ from the problem and integrated from 0 to R. The answer I got was not even remotely correct according to the back of the book. I ended up...

Homework Statement A sphere with radius R = 0.200 m has density ρ that decreases with distance r from the center of the sphere according to \rho = 3.00 \times 10^3 \frac{kg}{m^3} - (9.00 \times 10^3 \frac{kg}{m^4})r a) Calculate the total mass of the sphere. b) Calculate the moment of inertia...