tex] A stone is hanged on a string and moving it in Vertical Plane.Calculate the...

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June 2021 1 54 Report

[tex]\huge\mathbb{\pink{QUESTION ♡- }}\star{}[/tex]

A stone is hanged on a string and moving it in Vertical Plane.
Calculate the value of Tension at uppermost point and lowermost point.

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A stone is hanged on a string and moving it in Vertical Plane. Calculate the value of Tension at uppermost point and lowermost point.

$\huge✍︎\fbox\orange{ÂŇ}\fbox{SW} \fbox\green{ÊŘ}:$

${When \: the \: stone \: is \: at \: the \: bottom} \\ {position \: forces \: acting \: on \: stone \: are:} \\ \\ {Upward \: force \: tension (T),} \\ {Downward \: forces \: are \: weight (mg) }\\ {and \: also \: \frac{ {mv}^{2} }{R} \: centrifugal \: force.} \\ \\ {So \: balancing \: forces \: we \: get :} \\ \\ T=mg+\frac{{mv}^{2}}{R}$

$And \: minimum \: tension \: is \: obtained\\ at \: highest \: point \: which \: will \: be: \\ \\ \green{T=mg− \frac{ {mv}^{2} }{R} }$

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