A point mass m is suspended by means of a light metallic wire. The mass is given enough horizontal velocity so that it moves in a vertical circle. Now temperature is increased but the wire continues t

Question

A point mass m is suspended by means of a light metallic wire. The mass is given enough horizontal velocity so that it moves in a vertical circle. Now temperature is increased but the wire continues to move in a vertical circle of increased radius. If $T_{H}$ and $T_{L}$ are the value of tension in the wire at its highest and lowest point respectively, then due to increase in temperature the value of $(T_{L} - T_{H})$ will :

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Answer:

C

Solution:

Energy conservation between bottom and top gives
$v_{b}^{2} - v_{t}^{2} = 4 g r$
$T_{b} = m g + \frac{m v _{b}^{2}}{r}$
and
$T_{t} = \frac{m v _{t}^{2}}{r} - m g$
$T_{b} - T_{t} = 6 m g$
independent of radius.

TestHub · Accepted Answer

Energy conservation between bottom and top gives
$v_{b}^{2} - v_{t}^{2} = 4 g r$
$T_{b} = m g + \frac{m v _{b}^{2}}{r}$
and
$T_{t} = \frac{m v _{t}^{2}}{r} - m g$
$T_{b} - T_{t} = 6 m g$
independent of radius.

Physics - Heat & Thermo Question with Solution | TestHub

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