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

As shown in the figure, a spherical ball of radius rr and mass mm is pure rolling on a rough horizontal platform which is at height hh from the ground with the velocity of centre of mass as vv

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=2mm=2 m, r=0.63mr=0.63 m, v=1.8m/sv=1.8 m/s, g=10ms2g= 10 m{s}^{-2}, h=2.126mh=2.126 m
  • Assume friction to be sufficiently high on the platform.

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