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BITSAT2024PhysicsWork, Power and EnergyActual

A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m . The height of the table from the ground is 0.8 m . If the angular speed of the particle is 12 rad s ⁻¹ , the magnitude of its angular momentum about a point on the ground right under the centre of the circle is

Options

  1. A14.4 ~kg ~m ^2 ~s ⁻¹
  2. B8.64 ~kg ~m ^2 ~s ⁻¹
  3. C20.16 ~kg ~m ^2 ~s ⁻¹
  4. D11.52 ~kg ~m ^2 ~s ⁻¹

Correct answer

A. 14.4 ~kg ~m ^2 ~s ⁻¹

Step-by-step solution

Angular momentum L₀= mvr 90^ =2 0.6 12 1 1 [ . As V=r , . Sin 90^ =1 ] So, L₀=14.4 kgm ^2 / s

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