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Question: Answered & Verified by Expert
A plumb bob is hanging from the ceiling of car. If the car move with acceleration $a$, the angle made by the string with the vertical is
PhysicsLaws of MotionJEE Main
Options:
  • A $\tan ^{-1}\left(\frac{a}{g}\right)$
  • B $\tan ^{-1}\left(\frac{g}{a}\right)$
  • C $\cos ^{-1}\left(\frac{g}{a}\right)$
  • D $\cos ^{-1}\left(\frac{a}{g}\right)$
Solution:
2764 Upvotes Verified Answer
The correct answer is: $\tan ^{-1}\left(\frac{a}{g}\right)$
When car moves towards right with acceleration $a$ then due to Pseudo force the bob will tilt in backward direction making an angle $\theta$ with vertical.

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

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