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 moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is

1
\(\frac{1}{2}\frac{{P{L^2}}}{{EI}}\)
2
\(\frac{{P{L^2}}}{{EI}}\)
3
\(\frac{3}{2}\frac{{P{L^2}}}{{EI}}\)
4
\(\frac{5}{2}\frac{{P{L^2}}}{{EI}}\)

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