The moment of inertia for a hollow cylinder with a closed bottom can be calculated by summing the moments of inertia of both the cylinder and the disk at the bottom. The integral formula I = ∫ r² dm is essential for this calculation. To find the mass of each part, one can compare their relative areas, given that the thickness is uniform. The surface area of the cylinder is L x 2πr, while the area of the bottom is πr².
PREREQUISITESPhysics students, mechanical engineers, and anyone involved in structural analysis or materials science will benefit from this discussion.
If the thickness is uniform then you can find the masses of the cylinder and bottom by comparing their relative areas. The surface area of the cylinder is Lx2πr; the area of the bottom is πr2.Antares said:Is there a way to find the mass of each part or is there another approach to this problem?