A thin uniform rod of mass m and length l is free to rotate about its upper end. When it…

Physics · JEE Advanced · NTA ExamsRotational Motion

A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse I at its lowest point, normal to its length. Immediately after impact,
  1. the angular momentum of the rod is Il
  2. the angular velocity of the rod is 3I/ml
  3. the kinetic energy of the rod is 3I2/2m
  4. the linear velocity of the midpoint of the rod is 3I/2m

Answer

(A) the angular momentum of the rod is I l, (B) the angular velocity of the rod is 3I/m l, (C) the kinetic energy of the rod is 3I2/2m, (D) the linear velocity of the midpoint of the rod is 3I/2m

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