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 :

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the same throughout the motion

minimum when the rope is in the horizontal position

minimum at the highest position of the circular path

minimum at the lowest position of the circular path

answer is B.

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Detailed Solution

At highest point,

$T_{H} + m g = m ω^{2} r \Rightarrow T_{H} = m ω^{2} r - m g$

At lowest point,

$T_{L} - m g = m ω^{2} r \Rightarrow T_{L} = m ω^{2} r + m g$

After comparing,

$T_{H} < T_{L}$

Thus, tension in the string is minimum at the highest position of the circular path.

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