Q45 / 59 · NEST (NISER) 2018 · Physics

A disc of mass $M$ and radius $R$ rolls without slipping on a horizontal surface (see figure).

Figure


If the speed of its centre is $v_0$, then the magnitude of the angular momentum of the disc about a fixed point P at a height $5 R / 2$ above the horizontal surface

  • A
    increases continuously as the disc moves away from P until it attains a constant value $\frac{5}{2} M v_0 R$.
  • B
    decreases continuously as the disc moves away from P until it attains a constant value $\frac{3}{2} M v_0 R$.
  • Correct answer
    C
    is constant and equal to $M v_0 R$.
  • D
    is constant and equal to $2 M v_0 R$.

Hence, the correct answer is option: 'C'.

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