# Fluids on incline

A container filled with liquid moves down a rough fixed inclined plane with constant acceleration as shown in figure above.

The angle of incline is $$\cos^{-1} \frac{3}{5}$$ and the liquid surface makes an angle of $$\cos^{-1} \frac{4}{5}$$ with the horizontal.

If the coefficient of friction can be written as $$\dfrac ab$$ where $$a,b$$ are coprime positive integers, find $$a+b$$.

×