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The moment of inertia for point particles is a measure of an object's resistance to rotational motion. It is defined as the sum of the mass of each particle multiplied by the square of its distance from the axis of rotation.
The moment of inertia for a system of point particles is calculated by summing the individual moments of inertia for each particle. This can be done using the formula I = Σmr², where m is the mass of each particle and r is its distance from the axis of rotation.
The moment of inertia and rotational kinetic energy are directly proportional. This means that as the moment of inertia increases, the rotational kinetic energy also increases.
The center of mass is the point at which the entire mass of an object can be considered to be concentrated. For point particles, the center of mass is simply the average position of all the particles. The moment of inertia is calculated with respect to the axis of rotation passing through the center of mass.
No, the moment of inertia cannot be negative. It is always a positive quantity, as it is calculated by squaring the distance from the axis of rotation.