A bead of mass \( m \) moves on a rod without friction. Initially the bead is at the middle of t...

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A bead of mass \( m \) moves on a rod without friction. Initially the bead is at the middle of the rod and the rod moves translationally in a vertical plane with an acceleration \( a_{0} \) in a direction forming angle \( \theta \) with the horizontal as shown in the given figure. The acceleration of bead with respect to rod is
(A) \( g \sin \theta \)
(B) \( \left(g+a_{0}\right) \sin \theta \)
(C) \( g \sin \theta+a_{0} \cos \theta \)
(D) \( g \sin \theta-a_{0} \cos \theta \)
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