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A simple pendulum, having a bob of mass m, is suspended from the roof of a car. It is observed that when the car starts moving with an acceleration a, the string, of the pendulum, gets inclined at an angle α to the vertical. The acceleration, a, of the car, and the tension, T, in the string of the pendulum are, then, given by

(1) a = g sec α ; T = mg tan α

(2) a = g tan α ; T = mg sec α 

(3) a = g tan α ; T = mg tan α 

(4) a = g sec α ; T = mg sec α 

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Best answer

(2) a = g tan α ; T = mg sec α 

The three forces, keeping the bob, in equilibrium, in the accelerated car are, as shown. We then have, by Lami’s theorem.

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