A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions $s^{-2}$ is :

Question

Dr. Abubacker · Accepted Answer

[Solution] TR = Iα with $I = \frac{1}{2}MR^2$ and α = 4π rad/s²: $T = \frac{1}{2}MR\alpha = \frac{1}{2} 	imes 50 	imes 0.5 	imes 4\pi \approx 157$ N. (The PDF prints the mass as 50 g; the options and key need 50 kg.) Answer (4).

Q. A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions $s^{-2}$ is :

Explanation

Reviewed by Dr. Abubacker

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