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  • A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string isOption: 1 The same throug

A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is

Option: 1

The same throughout the motion.


Option: 2

minimum at the highest position of the circular path.


Option: 3

minimum at the lowest position of the circular path.


Option: 4

minimum when the rope is in the horizontal position.


Answers (1)

best_answer

Tension at any general point P

\mathrm{\begin{aligned} &T_{P}=T=\frac{m v^{2}}{R}+m g \cos \theta \\ &\text { at } \theta=0 \\ &\text { (Lowest poition) } \\ &T_{\text {max }}=\frac{m v^{2}}{R}+m g \Rightarrow \text { maximum } \end{aligned} }

\mathrm{\theta=180^{\circ}, \cos \theta=-1}\\ \mathrm{ T_{\min }=\frac{m v^{2}}{R}-m g}\\


The correct option is (2)

Posted by

jitender.kumar

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