what is the moment of inertia for sphere,cylinder, disk, ring
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Explanation:
the moment of inertia of a sphere :-
The process involves integrating the moments of inertia of infinitesmally thin disks from the top to the bottom of the sphere. This involves polynomial form integrals.
the moment of inertia of a
cylinder ( by derivation)
We will take a solid cylinder with mass M, radius R and length L. We will calculate its moment of inertia about the central axis. ... Each ring consists of the thickness of dr with length L. We have to sum up the moments of infinitesimally these thin cylindrical shells.
the moment of inertia of a disk:-
the moment of inertia of a disc about any of its diameter is MR2/4.
the moment of inertia of a ring:-
Moment of Inertia of a ring can be determined using various expressions. It includes; When the axis is passing through the centre (z-axis) and is perpendicular to it.
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