Ball rolling and falling on the ground(what's new about that)

Classical Mechanics Level 5

As shown in the figure, a spherical ball of radius \(r\) and mass \(m\) is pure rolling on a rough horizontal platform which is at height \(h\) from the ground with the velocity of centre of mass as \(v\)

After some time it falls of the edge on the ground. Find the horizontal range on the ground marked from the edge from where it fell that is from point M.

Details and Assumptions

  • \(m=2 m\), \(r=0.63 m\), \(v=1.8 m/s\), \(g= 10 m{s}^{-2}\), \(h=2.126 m\)
  • Assume friction to be sufficiently high on the platform.

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