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

  • @mikekeizer1899
    @mikekeizer18998 ай бұрын

    Great Video! Loved how you mister Mackey'd your way through the question m'kay

  • @PhysicsNinja

    @PhysicsNinja

    8 ай бұрын

    Glad you enjoyed it!

  • @hasnainferdous729
    @hasnainferdous7292 жыл бұрын

    Best channel so far

  • @snadia8722
    @snadia87223 жыл бұрын

    Thank you..it has really helped me

  • @christopherodonnell7831
    @christopherodonnell78312 жыл бұрын

    Great video, thanks

  • @azizbekurmonov6278
    @azizbekurmonov62783 жыл бұрын

    Thanks for video👍🏻

  • @sandeepchauhan4411
    @sandeepchauhan4411 Жыл бұрын

    your videos are awsome

  • @Fatinalya-jj2yf
    @Fatinalya-jj2yf Жыл бұрын

    loving the second method! thank you!

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    It’s my favorite as well

  • @krelle5604
    @krelle5604 Жыл бұрын

    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

    @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

    @PhysicsNinja

    Жыл бұрын

    Yes, you can add them up

  • @matthewsarsam8920
    @matthewsarsam89202 жыл бұрын

    Wouldn’t the distance to the origin from any small mass in the ring be r^2+z^2

  • @PhysicsNinja

    @PhysicsNinja

    2 жыл бұрын

    Yes, but we just want the distance of the mass to the axis of rotation, not the origin.

  • @martinauld670
    @martinauld670 Жыл бұрын

    So essentially the moment of inertia is independent of the thickness “h” cause I’ve got the same result for a 2D ring

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Well is does depend on the Mass, so the thicker the ring the bigger the moment of inertia

  • @ChilaNdo
    @ChilaNdo8 ай бұрын

    Saved from failing mechanics