Moment of inertia determines how fast an object rolls down the incline, for example - when sphere, disc and hoop with same mass and same radius is left on an inclined plane.
Let's understand with an example, when sphere, disc and hoop with same mass and same radius is left on an inclined plane, then which of the three will reach the ground first? The sphere has the smallest moment of inertia because most of its mass is present near the axis of rotation, hence it will reach the ground first.
The mass is uniformly distributed in disc, so it will have a greater moment of inertia then sphere and will arrive second. The hoop has all its mass concentrated away from the center, that is at the periphery so will have the greatest moment of inertia. Therefore, moment of inertia determines how fast an object rolls down the incline.
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