in any general problem of rigid body dynamics involving a pulley(when not considered light and has some inertia),we consider the tension on both the sides of ideal string to be different.....but when the string is ideal,it is considered to be massless,meaning thereby no gravitational force on it and no normal rkn force to the pulley....When the normal rkn force is zero,no frictional force should exist ....then how can tension be different????
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