IB Physics Flipping Rod

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A tutorial sheet on the problem of a uniform rod moving in a vertical plane.

A uniform rod of length 2a and mass m lies horizontal on a smooth horizontal surface. One end of the rod is given a vertical velocity V upwards.

  1. Is energy conserved as the rod moves in a vertical plane?
  2. Is linear momentum conserved as the rod moves in a verticla plane?
  3. Is angular momentum conserved as the rod moves in a vertical plane?
  4. The rod turns right over without losing contact with the table. Show that 6ag < V2 < 7ag.