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Q.

A solid cylinder of mass 50kg and radius 0.5m is tree 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 radian 2s–2 is

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a

78.5 N

b

157 N

c

25 N

d

50 N

answer is D.

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Detailed Solution

Given, m = 50kg, r = 0.5m, α = 2rad/s2 

We know torque is

τ= T × r = I ×α

⇒T x 0.5=50 x (0.5)22 x 2
T = 25 N

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