With the basics of rotational motion and inertia now in hand, we take on the topic of dynamics. We do so by closely paralleling what we know from linear dynamics.
The dashed line is moveable, and it x-coordinate is x, so that the distance of mi this line is xi−x The moment of inertia of the system of masses about the dashed line is In...The dashed line is moveable, and it x-coordinate is x, so that the distance of mi this line is xi−x The moment of inertia of the system of masses about the dashed line is In words, the moment of inertia about an arbitrary axis is equal to the moment of inertia about a parallel axis through the centre of mass plus the total mass times the square of the distance between the parallel axes.
In analog with mass representing the inertia of a body undergoing linear acceleration, we’ll identify this quantity as the inertia of a body undergoing rotational acceleration, which we’ll call the mo...In analog with mass representing the inertia of a body undergoing linear acceleration, we’ll identify this quantity as the inertia of a body undergoing rotational acceleration, which we’ll call the moment of inertia and denote by I.
