MHT CET · Physics · Laws of Motion
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
- 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 \(\cos ^{-1}\left(\frac{a}{g}\right)\)
Answer & Solution
Correct Answer
(A) \(\tan ^{-1}\left(\frac{a}{g}\right)\)
Step-by-step Solution
Detailed explanation
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.
\(\theta=\tan ^{-1}\left(\frac{a}{g}\right)\)
\(\theta=\tan ^{-1}\left(\frac{a}{g}\right)\)
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