Q.

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

Moderate

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to the left and the angle of inclination of the pendulum with the vertical is sin-1ga

to the left and angle of inclination of the pendulum with the vertical is tan-1ag

to the left and angle of inclination of the pendulum with the vertical is sin-1ag

to the left and angle of inclination of the pendulum with the vertical is tan-1ga

answer is 2.

(Detailed Solution Below)

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Detailed 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 asNow, from equilibrium of forces in above diagram (b), we getma cosθ = mg sinθ⇒ sinθcosθ = mamg⇒ tanθ = ag ⇒ θ = tan-1ag

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