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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
\( \mathrm{P} \) makes an angle \( \theta \) with the vertical

W
[CPMT 1983; Similar MP PET 2013]
(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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