Because I = m * r^2 grows with the square of radius, pulling mass inward shrinks the moment of inertia and makes the body easier to spin, like a skater drawing in their arms. The trend is exact only for the stated point mass and radius in the ideal rigid-body model. Real systems add distributed mass, axis choice, friction, flexing, calibration, and measurement uncertainty.

The same mass near the axis has a smaller rotational ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Closer mass has much less inertia

With the same 2 kilogram mass at radius 1 meter, the inertia is only 2 kilogram meter squared.

I=2×12=2 kg m2I=2\times1^2=2\ \mathrm{kg\,m^2}
Moment of inertiaPoint masses at radius set inertia.r=1 mm=2 kgr=1 mI=2 kg*m^2

Radius controls how hard spin is to change

The inertia drops from 18 to 2 when the mass moves inward.

18>218>2
Moment of inertiaPoint masses at radius set inertia.r=1 mm=2 kgr=1 mI=2 kg*m^2