For a variable density object, this value can be determined by dividing the volume integral of position times density by the volume integral of density. The total moment of inertia about an axis is eq
For a variable density object, this value can be determined by dividing the volume integral of position times density by the volume integral of density. The total moment of inertia about an axis is equal to mass times distance to a parallel axis squared plus moment about this position for the parallel axis. This value can be calculated by taking a weighted sum of the positions of the various masses in a system and dividing by the total mass. For 10 points, gravity can be said to act entirely on what point at which an object can be balanced?
For a variable density object, this value can be determined by dividing the volume integral of position times density by the volume integral of density.
{center} of {mass} or {com} [accept {center} of {gravity} or {cog}]