The Field Keeps Me Down

An object with mass \(m\) and charge \(q\) is dropped on an infinite inclined plane which forms an angle \(\theta\) with the horizontal, in the presence of a constant magnetic field \(B_{0}\) which goes out the page. If the coefficient of friction between the plane and the object is \(\mu\), the maximum magnetic force can be written as \(\dfrac{mg}{\mu}(a-\mu b)\), find the value of \(a^2+b^2\)

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