Hi, im trying to calculate the inertia of a cylinder with a non-uniform mass, In my uni project we have a annulus ring of cement and an annulus ring of pla plastic, that makes a cylinder. could i calculate the inertia for each annulus ring, and add them togther to find the inertia of the cylinder with a non-uniform mass?
Dunno if non-uniform mass is the right word, English is not my first language, but i mean that i have a cylinder made up of a cement ring, in the outer layer of the ring and the center part of the ring is off pla plastic, could i divide them up into 2 diffrent annulus ring, calculate the inertia for each and add them togther to find the inertia for the full cylinder?
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Hi, im trying to calculate the inertia of a cylinder with a non-uniform mass,
In my uni project we have a annulus ring of cement and an annulus ring of pla plastic, that makes a cylinder. could i calculate the inertia for each annulus ring, and add them togther to find the inertia of the cylinder with a non-uniform mass?
Dunno if non-uniform mass is the right word, English is not my first language, but i mean that i have a cylinder made up of a cement ring, in the outer layer of the ring and the center part of the ring is off pla plastic, could i divide them up into 2 diffrent annulus ring, calculate the inertia for each and add them togther to find the inertia for the full cylinder?
Yes, you can add them up
Wouldn’t the distance to the origin from any small mass in the ring be r^2+z^2
Yes, but we just want the distance of the mass to the axis of rotation, not the origin.
So essentially the moment of inertia is independent of the thickness “h” cause I’ve got the same result for a 2D ring
Well is does depend on the Mass, so the thicker the ring the bigger the moment of inertia
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