Oscillations Ques 2

2. A truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of $a$. The pendulum will tilt

[NEET Odisha 2019]

(a) to the left and angle of inclination of the pendulum with the vertical is $\tan ^{-1}\left(\frac{g}{a}\right)$

(b) to the left and angle of inclination of the pendulum with the vertical is $\sin ^{-1}\left(\frac{g}{a}\right)$

(c) to the left and angle of inclination of the pendulum with the vertical is $\tan ^{-1}\left(\frac{a}{g}\right)$

(d) to the left and angle of inclination of the pendulum with the vertical is $\sin ^{-1}\left(\frac{a}{g}\right)$

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Answer:

Correct Answer: 2.(c)

Solution: (c) $ \mathrm{T} \sin \theta=\mathrm{ma} $

$ \mathrm{T} \cos \theta=\mathrm{mg} $

$ \tan \theta=\frac{a}{g} $

$ \theta=\tan ^{-1}(\frac{a}{g})$