"Never stop Thinking, Never stop Questioning; Never stop Growing. To be realize that everything connects to everything else!! - spl BiNal.
Given,
Mass of the stone $(m) = 0.2\;kg$
Radius of the circle $(r) = 1\;m$
Minimum Tension in String $(T_{min}) = 3\;N$
Magnitude of the speed $(v) = \;?$
Maximum tension in the string $(T_{max}) = \;?$
We have,
$T_{max} = \frac{m\;v^2}{r} + mg$
$T_{min} = \frac{m\;v^2}{r} - mg$
From equation (ii); we get,
$v^2 = \frac{T_{min}\;*\;r}{m} + m\;g = \frac{3\;*\;1}{0.2} + 0.2\;*\;10 = 25$
⇒ $v = 5\;m/s$
∴ Magnitude of the speed $(v) = \;5\;m/s$
From equation (i), we get,
$T_{max} = \frac{0.2\;*\;5^2}{1} + 0.2\;*\;10 = 7\;N$
∴ Maximum tension in the string $(T_{max}) = \;7\;N$
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