Round about

A horizontal plane supports a stationary vertical cylinder of radius RR and a disc AA attached to the cylinder by a horizontal thread ABAB of length LL (see figure above, top view). An initial velocity vv is imparted to the disc, as shown above. How long will it move along the plane until it strikes against the cylinder?

Details and Assumptions:

  • Neglect friction at all contact surfaces.
  • Do not consider gravitational forces.
  • The radius of the disc as compared to the radius of the cylinder is very small.
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