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Moment-of-inertia Formulas

1. Cylinder (1)

(Axis of rotation = Center axis)

4. Sphere

(Axis of rotation = Center axis)

2. Cylinder (2)

(The axis of rotation passes through the center of gravity.)

5. Center of gravity not on the axis of rotation.

Ig: Moment of inertia around center of gravity

3. Rectangular parallelepiped

(The axis of rotation passes through the center of gravity.)

l: Moment of inertia [kgm

]

m: Mass [kg]

r: Radius [m]

a, b, c,

: Length [m]

Calculation example : When calculating the moment of inertia of a complicated shape, divide it into simple

parts as much as possible for easier calculations.

As shown in the figure below, divide the hand into three parts ( (1), (2), (3) ).

Calculation Example of Hand's Moment of Inertia Around the T Axis

1 2 ... 37 38 39 40 41 42 43 44 45 46 47 ... 55 56

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