A pendulum of mass \( m \) hangs from a support fixed to a trolley. The direction of the string ...

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A pendulum of mass \( m \) hangs from a support fixed to a trolley. The direction of the string (i.e. angle \( \theta \) ) when the trolley rolls up a plane of inclination \( \alpha \) with acceleration \( a \) is
(a) \( \mathrm{O} \)
(b) \( \tan ^{-1} \alpha \)
(c) \( \tan ^{-1}\left(\frac{\alpha+g \sin \alpha}{g \cos \alpha}\right) \)
(d) \( \tan ^{-1} \frac{a}{g} \)
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