$A$ simple pendulum is set up in a trolley which moves to the right with an acceleration $a$ on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle $\theta$ with the vertical.

  • A
    $\tan^{-1}(\frac{a}{g})$ in the forward direction
  • B
    $\tan^{-1}(\frac{a}{g})$ in the backward direction
  • C
    $\tan^{-1}(\frac{g}{a})$ in the backward direction
  • D
    $\tan^{-1}(\frac{g}{a})$ in the forward direction

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