JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
If \(\overrightarrow{\mathrm{L}}\) and \(\overrightarrow{\mathrm{P}}\) represent the angular momentum and linear momentum respectively of a particle of mass ' m ' having position vector \(\overrightarrow{\mathrm{r}}=\mathrm{a}(\hat{\mathrm{i}} \cos \omega \mathrm{t}+\hat{\mathrm{j}} \sin \omega \mathrm{t})\). The direction of force is
- A Opposite to the direction of \(\vec{r}\)
- B Opposite to the direction of \(\overrightarrow{\mathrm{L}}\)
- C Opposite to the direction of \(\vec{P}\)
- D Opposite to the direction of \(\overrightarrow{\mathrm{L}} \times \overrightarrow{\mathrm{P}}\)
Answer & Solution
Correct Answer
(A) Opposite to the direction of \(\vec{r}\)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{\mathrm{a}}=-\omega^2 \overrightarrow{\mathrm{r}}\) \(\therefore \overrightarrow{\mathrm{F}}\) opposite to \(\overrightarrow{\mathrm{r}}-\)
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