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A car is moving in a circular horizontal track of radius 6 3 5 m A plumb bob is suspended from the roof of the car by a light rigid rod. The angle made by the rod with the vertical is 60 o . Then the car moves with a constant speed of _______ m / s . g = 10 m / s 2

Correct answer

6

Step-by-step solution

T sin ⁡ θ = mv 2 R T cos ⁡ θ = mg ∴ tan ⁡ θ = v 2 Rg ∴ v 2 = tan ⁡ θ × R × g ∴ v 2 = tan ⁡ 60 o × 6 3 5 × 10 ∴ v 2 = 3 × 6 3 5 × 10 ∴ v 2 = 36 ∴ v = 6 m / s

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