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MHT CET202411 May 2024Evening ShiftPhysicsRotational MotionActual

A particle of mass ' m ' is performing uniform circular motion along a circular path of radius ' r '. Its angular momentum about the axis passing through the centre and perpendicular to the plane is ' L '. The kinetic energy of the particle is

Options

  1. AL ^2 2 mr ^2
  2. B2 ~L ^2 mr ^2
  3. CL ^2 mr ^2
  4. D2 ~L ^2 3 mr ^2

Correct answer

A. L ^2 2 mr ^2

Step-by-step solution

aligned & E= 1 2 I ^2 & L=I L^2=I^2 ^2 & E= 1 2 L^2 I & B u t I=M r^2 & E= 1 2 L^2 M r^2 = L^2 2 Mr ^2 aligned

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