Q.

A solid cylinder of mass 50kg and radius 0.5m 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 rad/s2 is

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a

50N

b

78.5N

c

157N

d

25N

answer is D.

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Detailed Solution

Given, m = 50kg, r = 0.5m,  = 2rad/s2T = 25 N
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A solid cylinder of mass 50kg and radius 0.5m 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 rad/s2 is