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A mass $1 k g$ attached to the end of a flexible rope of diameter $d = 0.25 m$ is raised vertically by winding the rope on a reel as shown. If the reel is turned uniformly at the rate of $2 r . p . s .$ What is the tension in rope. The inertia of rope may be neglected.

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Detailed Solution

Tangential acceleration $\frac{d v}{d t} = ω \frac{d r}{d t}$

$ω = 4 π, \frac{d r}{d t} = 0.5; a = 2 π T - m g = m a; T = m g + m a$

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