# Spoked Wheel Moment

Classical Mechanics Level 3

A circular wheel with eight spokes has a total mass $$M$$, a radius $$R$$, and a uniform linear mass density.

The moment of inertia with respect to an axis perpendicular to the wheel's plane and passing through the wheel's center can be expressed as:

$\large{MR^{2} \left(\dfrac{a + b\pi}{ab + b\pi}\right)},$

where $$a$$ and $$b$$ are coprime positive integers. Determine $$a+b$$.

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