A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see

A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see figure). The force is then increased slowly and then maintained constant when M travels around in circle (y). The radius of circle (x) is twice the radius of circle (y).M’s angular velocity at x is one quarter that at y. M’s angular momentum at y is …. that at x. While going from x to y, there is no torque on M As M moves from x to y, the work done by F is …. 0. M’s kinetic energy at x is one quarter that at y.

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