Question 583: Centre of Mass and Rotational Motion

Question

A particle with position vector $$\overrightarrow{\mathrm{r}}$$ has a linear momentum $$\overrightarrow{\mathrm{P}}$$. Which one of the following statements is true in respect of its angular momentum 'L' about the origin?

Accepted Answer

The angular momentum of the particle is given by $$\overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} 	imes \overrightarrow{\mathrm{p}}$$
Its magnitude is $$\mathrm{L=r p \sin 	heta}$$
$$\mathrm{L}$$ will be maximum when $$	heta=90^{\circ}$$.

Answer

$$\overrightarrow{\mathrm{L}}$$ acts along $$\overrightarrow{\mathrm{P}}$$.

Answer

L is maximum when $$\overrightarrow{\mathrm{P}}$$ is perpendicular to $$\overrightarrow{\mathrm{r}}$$.

Answer

$$\overrightarrow{\mathrm{L}}$$ acts along $$\overrightarrow{\mathrm{r}}$$.

Answer

L is maximum when $$\overrightarrow{\mathrm{P}}$$ and $$\overrightarrow{\mathrm{r}}$$ are parallel.

Centre of Mass and Rotational Motion

A particle with position vector $\overrightarrow{\mathrm{r}} has a linear momentum \overrightarrow{\mathrm{P}}$. Which one of the following statements is true in respect of its angular momentum 'L' about the origin?

Choose the correct answer: