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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 makes an angle θ with the vertical :

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a

tan−1⁡ag in the forward direction

b

tan−1⁡ag in the backward direction

c

tan−1⁡ga in the backward direction

d

tan−1⁡ga in the forward direction

answer is B.

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Detailed Solution

In accelerated frame of reference, a fictitious force (pseudo force) ma acts on the bob of pendulum as shown in figure.Hence,tan⁡θ=mamg=ag⇒θ=tan−1⁡ag in the backward direction.

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