Question Statement:
Given: The tip deflection and tip slope for a tip loaded cantilever of length $L$ are $\frac{NL^3}{3EI}$ and $\frac{NL^2}{2EI}$, respectively, where $N$ is the tip force and $EI$ is the flexural rigidity. A cantilever $PQ$ of rectangular cross-section is subjected to transverse load, $F$, at its mid-point. Two cases are considered as shown in the figure. In Case I, the end $Q$ is free and in Case II, $Q$ is simply supported. The ratio of the magnitude of the maximum bending stress at $P$ in Case I to that in Case II is ______ (rounded off to one decimal place).
Scientific schematic diagram reproduced from official IIT paper