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A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is $10000 \text{ N.m}^{2}$. The magnitude of the slope of the beam at its free end is ______ micro radian ($\textit{round off to the nearest integer}$).
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