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A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A bob is suspended from the roof of the car by a light wire of length 1.0 m. The angle made by the wire with the vertical is:

1. 0°
2. π/3
3. π/6
4. π/4

Correct answer: π/4

Solution

The car is moving in a circular path, so the bob experiences a centripetal force due to the car's motion. The angle θ can be found using tan(θ) = v²/(r * g). Substituting v = 10 m/s, r = 10 m, and g = 10 m/s², we get tan(θ) = 1, so θ = 45° or π/4.

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