A horizontal platform in the shape of a circular disk rotates freely in a horizontal plane about a frictionless vertical axle. The platform has a mass M = 100 kg and a radius R = 2.0 m. A student whose mass is m = 60 kg walks slowly from the rim of the disk toward its centre. If the angular speed of the system is 2.0 rad/s when the student is at the rim, (a) what is the angular speed when he reaches a point r = 0.50 m from the centre? (b) What is the kinetic energy of the system before and after the student walks inward?

University of Ilorin PHY101 2026-exam past question

  1. (a) 4.09 rad/s; (b) 880 J before, 1801 J after
  2. (a) 2.00 rad/s; (b) 880 J before and 880 J after
  3. (a) 8.18 rad/s; (b) 880 J before, 3602 J after
  4. (a) 4.09 rad/s; (b) 1801 J before, 880 J after

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