A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two-point…

Physics · JEE Advanced · NTA ExamsRotational Motion

A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two-point masses m and 2m, moving in the same horizontal plane with speeds 2v and v respectively, strike the bar (as shown in figure) and stick to the bar after collision. Denoting angular velocity (about centre of mass), total energy and velocity of centre of mass by w, E and v0 respectively, after the collision which of the following is incorrect?
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  1. \(v_{0}=0\)
  2. \(\omega=\frac{3 v}{5 a}\)
  3. \(\omega=\frac{v}{5 a}\)
  4. \(E=\frac{3 m v^{2}}{5 a}\)

Answer

(B) = 3 v 5 a

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