Motion in a Plane — Physics STD 11 Science — Question
Maharashtra BoardEnglish MediumSTD 11 SciencePhysicsMotion in a Plane2 Marks
Question
Is there any limitation on semi vertical angle in conical pendulum? Give reason.
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Answer
Yes.
For a conical pendulum, Period $T \propto \sqrt{\cos \theta}$ $\therefore$ Tension $F \propto \frac{1}{\cos \theta}$ Speed $v \propto \sqrt{\tan \theta}$ With increase in angle $\theta, \cos \theta$ decreases and $\tan \theta$ increases. For $\theta=90^{\circ}, T=0, F=\infty$ and $v=\infty$ which cannot be possible.
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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