# GATE Mechanical 2014 Set 2 | Question: 30

The flexural rigidity $(EI)$ of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load $P$ and bending moment $PL/2$ are applied at the free end of the beam then the value of the slope at the free end is

1. $\dfrac{1}{2}\dfrac{PL^2}{EI} \\$
2. $\dfrac{PL^2}{EI} \\$
3. $\dfrac{3}{2}\dfrac{PL^2}{EI} \\$
4. $\dfrac{5}{2}\dfrac{PL^2}{EI}$

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