Question

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 :-

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

Answer 1

Answer: (C)

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

Answer 2

$tan \,\theta = \frac{F_{\text{pseudo}}}{mg} =\frac{a}{g}$ towards left