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A thin, uniform and rigid rod R of mass M and length L rests on a flat frictionless table top. A tiny piece of wood of mass m  0.01 M sliding on the table towards R with a velocity v perpendicular to the length of the rod hits one end of R and gets stuck. The speed of the centre of mass and angular speed of the resulting system are respectively given by

A thin, uniform and rigid rod R of mass M and length L rests on a flat frictionless table top. A
tiny piece of wood of mass m  0.01 M sliding on the table towards R with a velocity v
perpendicular to the length of the rod hits one end of R and gets stuck. The speed of the centre
of mass and angular speed of the resulting system are respectively given by

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Grade:12th pass

1 Answers

Akib hassan
15 Points
4 years ago
V=(m1v1+m2v2)/(m1+m2)
  =0.01 Mv / (M+0.01M)
  = 0.01 Mv / 1.01 M
  = 1v/ 101
This is the speed of the centre of mass 

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