Recent content by garis

I have worked it out to be (3/5)MR^2. Is that correct? I ask because I am now questioning whether I = 0.5MR^2 for a conical shell is correct; because I found that formula from an old calc book, that was asking to prove that is the inertia when you are given a density function. It occurs to me...

Should I instead calculate the moment of inertia for a solid cone, but without merging the volume and the integral; instead taking the derivative of the result of the integral with respect to R and the volume with respect to R separately, then combining them and simplifying? Such an approach...

Homework Statement Given that the conical shell has uniform density and thickness is made of one sheet, has mass M, height h, and base radius R, derive the moment of inertia about its axis of symmetry. Homework Equations I = MR^2 for a ring about its central axis. I = ∫dI - my approach The...