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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Oscillations

NEET 2019 · Physics · Oscillations

A truck is stationary and has a bob suspended by a light string, in...

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 tiltA truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck, suddenly

Options

  1. Ato the left and the angle of inclination of the pendulum with the vertical is \sin ^{-1}\left(\frac{g}{a}\right)
  2. Bto the left and angle of inclination of the pendulum with the vertical is \tan ^{-1}\left(\frac{a}{g}\right)
  3. Cto the left and angle of inclination of the pendulum with the vertical is \sin ^{1-}\left(\frac{a}{g}\right)
  4. Dto the left and angle of inclination of the pendulum with the vertical is \tan ^{-1}\left(\frac{g}{a}\right)

Correct answer

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

Step-by-step solution

As the truck move to the right, so the bob will move to the left due to inertia of rest with acceleration a. Thus, the given situation can be drawn as A truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck, suddenly
From the above diagram (b) as the string moves by an angle of θ\theta with the vertical then the tangent angle is tan⁡θ=mamg⇒θ=tan⁡−1(ag)\tan \theta=\frac{\mathrm{ma}}{\mathrm{mg}} \Rightarrow \theta=\tan ^{-1}\left(\frac{\mathrm{a}}{\mathrm{g}}\right)
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