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A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The magnitude of the vertical reaction force in $N$ at the left support is

  1. $\text{zero}$
  2. $L/3\pi$
  3. $L/\pi$
  4. $2L/\pi$

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