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Can an external force that does no work (because the point of application is stationary) cause change in the rotational kinetic energy of a system?
Yes, an external force that does no work can cause change in the rotational kinetic energy of a system. Torque is an entity which measures the rotational effect of a force. Torque of a force, acting at given point, is the defined as the momentum of the force about the axis of rotation. In accordance to Newton’s first law of rotational motion, everybody continues in its state of rest or of uniform rotational motion about a given axis unless it is completed by some external unbalanced torque to change that state. Therefore the force which has no translational motion but will produce an external torque on the system will cause change in the rotational kinetic energy of the system.
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