MCQ
If there is no external force acting on a nonrigid body, which of the following quantities must remain constant?
  • A
    Angular momentum.
  • B
    Linear momentum.
  • $A$ and $B$
  • D
    Moment of inertia.

Answer

Correct option: C.
$A$ and $B$

$\overrightarrow{\text{F}}_{\text{ext}}=0$
$\Rightarrow\overrightarrow{\tau}_{\text{ext}}=0$
That is, the change in linear momentum and angular momentum is zero. This is because:
$\frac{\text{d}\overrightarrow{\text{P}}}{\text{dt}}=\overrightarrow{\text{F}}_{\text{ext}}$
And $\frac{\text{d}\overrightarrow{\text{L}}}{\text{dt}}=\overrightarrow{\tau}_{\text{ext}}$

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