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Q. Show Constant Moment Arm?
The simplest case is that of a point mass, and the moment of inertia can be immediately written as
I = mR2,
Where I be the moment of inertia m is the mass of the object and R is the distance from the axis to the object. It is worth noting that this relation as well holds for a thin hoop or ring with the axis perpendicular to the object and through its center. By extension it as well applies to a thin cylindrical shell with the axis of rotation coincident with the axis of the cylinder. The entire these shapes have essentially the same moment arm.
the numerical ratio of displacement to the distance covered is always ???????????????
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