A uniform sphere of mass m, radius r and moment of inertia I about its centre moves along…

Physics · JEE Advanced · NTA ExamsRotational Motion

A uniform sphere of mass m, radius r and moment of inertia I about its centre moves along the x-axis as shown in the figure. Its centre of mass moves with velocity = v0, and it rotates about its centre of mass with angular velocity = w0. Let L = Iw0 + mv0r is the angular momentum of the body about the origin O is
 Shape Description automatically generated with medium confidence
  1. L, only if v0 = w0r
  2. greater than L, if v0 > w0r
  3. less than L is v0 > w0r
  4. L, for all values of w0 and v0

Answer

(D) L, for all values of w 0 and v 0

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