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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

1. to the left and angle of inclination of the pendulum with the vertical is tan⁻¹(g/a)
2. to the left and angle of inclination of the pendulum with the vertical is sin⁻¹(g/a)
3. to the left and angle of inclination of the pendulum with the vertical is tan⁻¹(a/g)
4. to the left and angle of inclination of the pendulum with the vertical is sin⁻¹(a/g)

Correct answer: to the left and angle of inclination of the pendulum with the vertical is tan⁻¹(a/g)

Solution

When the truck accelerates to the right, the pendulum experiences a pseudo force to the left in the non-inertial frame of reference. The resultant force causes the pendulum to tilt to the left, and the angle of inclination with the vertical is given by tan⁻¹(a/g), where 'a' is the horizontal acceleration and 'g' is the acceleration due to gravity.

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