# 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 \(a+b\).