Moment of Inertia of Annulus Ring
Physics Ninja looks at the calculation of the moment of inertia of an annulus Ring. Two methods are used - the first uses standard integration in cylindrical coordinates. In the second case i use a trick to calculate the moment of inertia of an object with hole. For this i use the result of the cylinder to quickly evaluate the moment of inertia of a ring.
Пікірлер: 17
Great Video! Loved how you mister Mackey'd your way through the question m'kay
@PhysicsNinja
8 ай бұрын
Glad you enjoyed it!
Best channel so far
Thank you..it has really helped me
Great video, thanks
Thanks for video👍🏻
your videos are awsome
loving the second method! thank you!
@PhysicsNinja
Жыл бұрын
It’s my favorite as well
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?
@krelle5604
Жыл бұрын
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?
@PhysicsNinja
Жыл бұрын
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
@PhysicsNinja
2 жыл бұрын
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
@PhysicsNinja
Жыл бұрын
Well is does depend on the Mass, so the thicker the ring the bigger the moment of inertia
Saved from failing mechanics