http://en.wikipedia.org/wiki/List_of_moments_of_inertiaLolmen said:I notice, that there was some discussion and few formulas for calculate momentum of inertia for 2D polygons to use it in Verlet Integration further.
So I'm wondering, is something like that possible for 2D circle?
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is calculated by considering the mass and distribution of mass of an object around a specific axis of rotation.
Moment of inertia is calculated for a circle using the formula I = mr², where I is the moment of inertia, m is the mass of the circle, and r is the radius of the circle.
The units of moment of inertia depend on the units used for mass and distance. If mass is measured in kilograms and distance in meters, then the units for moment of inertia are kilograms times meters squared (kg·m²).
Moment of inertia for a circle is significant because it determines the circle's resistance to changes in its rotational motion. It is also used in calculating the kinetic energy and angular momentum of a rotating circle.
The moment of inertia for a circle increases as its radius increases. This means that larger circles have a greater resistance to changes in rotational motion compared to smaller circles with the same mass.