An inclined plane is bent in such a way that the vertical cross-section is given by y=x^2/4 where y is in vertical and x in horizontal direction. If…

An inclined plane is bent in such a way that the vertical cross-section is given by $\displaystyle y=\frac{x^2}{4}$ where $\displaystyle y$ is in vertical and $\displaystyle x$ in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction $\displaystyle \mu=0.5$, the maximum height in cm at which a stationary block will not slip downward is \_\_\_\_ cm.