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.
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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.
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\begin{gathered}{When \: the \: stone \: is \: at \: the \: bottom} \\ {position \: forces \: acting \: on \: stone \: are:} \\ \\ < /p > < p > < /p > < p > {Upward \: force \: tension (T),} \\ {Downward \: forces \: are \: weight (mg) }\\ {and \: also \: \frac{ {mv}^{2} }{R} \: centrifugal \: force.} \\ < /p > < p > \\ < /p > < p > {So \: balancing \: forces \: we \: get :} \\ < /p > < p > \\ < /p > < p > T=mg+\frac{{mv}^{2}}{R}\end{gathered}
Whenthestoneisatthebottom
positionforcesactingonstoneare:
</p><p></p><p>Upwardforcetension(T),
Downwardforcesareweight(mg)
andalso
R
mv
2
centrifugalforce.
</p><p>
</p><p>Sobalancingforcesweget:
</p><p>
</p><p>T=mg+
R
mv
2
\begin{gathered}And \: minimum \: tension \: is \: obtained\\ at \: highest \: point \: which \: will \: be: \\ < /p > < p > \\ \green{T=mg− \frac{ {mv}^{2} }{R} }\end{gathered}
Andminimumtensionisobtained
athighestpointwhichwillbe:
</p><p>
T=mg−
R
mv
2
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꧁Hopes so that this will help you,꧂
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✌︎Thanking you, your one of the Brother of your 130 Crore Indian Brothers and Sisters.✌︎
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