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: When examining mechanical systems, especially those involving rotation, considerations include torque, angular velocity, and centripetal force. For example, in a rotating system, $$F_c = \fracmv^2r$$ or $$F_c = mr\omega^2$$, where (F_c) is the centripetal force, (m) is the mass of the object, (v) is its velocity, (r) is the radius of the rotation, and (\omega) is the angular velocity.