Is there any limitation on semi vertical angle in conical pendulum? Give reason.
Is there any limitation on semi vertical angle in conical pendulum? Give reason.
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Yes.
1. For a conical pendulum, Period T ∝ \(\sqrt{cos\,\theta}\)
∴ Tension F ∝ \(\frac{1}{cos\,\theta}\)
Speed v ∝ \(\sqrt{tan\,\theta}\)
With increase in angle θ, cos θ decreases and tan θ increases.
For θ = 90°, T = 0, F = ∞ and v = ∞
which cannot be possible.
2. Also, θ depends upon breaking tension of string, and a body tied to a string cannot be resolved in a horizontal circle such that the string is horizontal. Hence, there is limitation of semi vertical angle in conical pendulum.
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