Description[1]
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Moment(s) of inertia
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Point mass m at a distance r from the axis of rotation.
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Two point masses, M and m, with reduced mass and separated by a distance, x.
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Rod of length L and mass m (Axis of rotation at the end of the rod)
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Rod of length L and mass m
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Thin circular hoop of radius r and mass m
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![{\displaystyle I_{z}=mr^{2}\!}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a43580f1705628fd92c0485149bf3f5a13463f6c)
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Thin cylindrical shell with open ends, of radius r and mass m
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Solid cylinder of radius r, height h and mass m
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![{\displaystyle I_{z}={\frac {mr^{2}}{2}}\,\!}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d3391253a2a08bbe2d292e499d060fd1fd6c450)
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Sphere (hollow) of radius r and mass m
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Ball (solid) of radius r and mass m
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Thin rectangular plate of height h and of width w and mass m (Axis of rotation at the end of the plate)
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Solid cuboid of height h, width w, and depth d, and mass m
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![{\displaystyle I_{h}={\frac {1}{12}}m\left(w^{2}+d^{2}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/70b6077d5644452e74201bdb42ee4088fc8e601f)
![{\displaystyle I_{w}={\frac {1}{12}}m\left(h^{2}+d^{2}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a0f773a79a378b9bb0b85f4d646a48b297a2c148)
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