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 TH and TL are the value of tension in the wire at its highest and lowest point respectively, then due to increase in temperature the value of (TL

Engineering

Physics

Thermal Expansion

Circular Motion in Vertical Plane

Vertical Circular Motion

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 :

decrease

cannot be determined

remain same

increase

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According to given condition,

$u = \sqrt{5 gL} & y = \sqrt{gL}$

$T_{L} = mg + \frac{{mu}^{2}}{L} = 6 mg$

$T_{H} = mg - \frac{{mv}^{2}}{L} = 0$

(T_L – T_H) = 6 mg i.e. independent of temperature.