If in a simple pulley there is a string going over it and both ends of the string are fastened sith 2 blocks of mass m1 and m2. The pulley will rotate in the direction of heavier mass suppose m1. Then due to torque, tension in the part of string attached to m1 will be more. But how torque affects the tension?

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Solution

Hi,

It is not the torque that affect tension. But the torque is due to the difference in tension. Thus, tension affect the torque.

$Let T_{1} and T_{2} be the tension in the puley due to mass m_{1} and m_{2} . Let T_{1} > T_{2} Now, torque on the pulley will be = (T_{1} - T_{2}) R Due to this torque, pulley will rotate by angular acceleration α . Now, (T_{1} - T_{2}) R = I α Where I is the moment of inertia of pulley Thus, torque is due to the difference in tension in the pulley . If T_{1} = T_{2}, there will not be any torque .$

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