First slide
Torque
Question

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

Moderate
Solution

Given, m = 50kg, r = 0.5m,  = 2rad/s2
\large T \times r = I\alpha
\large \Rightarrow T \times 0.5 = \frac{{50 \times {{\left( {0.5} \right)}^2}}}{2} \times 2

T = 25 N

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