does friction act to make the velocity of a purely rolling body constant by balancing the other net external torque?
What friction are you talking about? Air friction can act this way, or spinning friction about the axis of rotation.
spinning friction tangential to contact area
In case of pure rolling body on a fixed base, this force is a static friction force and its power is zero. Such a force will never balance any external torque. This is why all systems with rolling bodies can be seen as conservative and solved using mechanical energy conservation.
no i meant to say after an external torque is applied to a purely rolling body friction adjusts itself to prevent slipping of the point of contact..then after sometimes does the velocity becomes constant and friction ceases to act?
"no i meant to say WHILE an external torque is applied to a purely rolling body friction adjusts itself to prevent slipping of the point of contact" – Correct "..then after sometimes does the velocity becomes constant and friction ceases to act?" – If net external torque ceases to exist, velocity will be constant and, although friction is there, the friction force will be equal to zero.
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