Calculations based on moment of Inertia

Moment of Inertia:

Here are some formulae for Moments of Inertia of different objects. (M stands for mass, R for radius and L for length):

Disk with axis parallel to disc, passing through the center

\[MR^2/2 \]

Disk with axis passing through the center and perpendicular to disc

\[MR^2/2 \]

Thin rod with axis perpendicular to the Rod and passing through center

\[ML^2/12 \]

Solid Sphere axis passing through the center

\[2MR^2/5 \]

Solid Shell with axis passing through the center 

\[2MR^2/3 \]

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