JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
A particle of mass \(m\) is moving along the side of a square of side '\(a\)', with a uniform speed \(v\) in the \(x-y\) plane as shown in the figure Which of the following statement is false for the angular momentum \(\vec L\) about the origin ?
- A \(\;\left( a \right)\overrightarrow {\;L} \) \( = mv\left[ {\frac{R}{{\sqrt 2 }} + a} \right]\hat k\) ,when the particle is moving from \(B\) to \(C\)
- B \(\vec L\) \( = \frac{{mv}}{{\sqrt 2 }}\;R\;\hat k\) , when the particle is moving from \(D\) to \(A\)
- C \(\left( d \right)\overrightarrow {\;L} \) \( = mv\left[ {\frac{R}{{\sqrt 2 }} - a} \right]\hat k\) ,when the particle is moving from \(C\) to \(D\)
- D Both (b) and (c)
Answer & Solution
Correct Answer
(D) Both (b) and (c)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{P}}\) or \(\overrightarrow{\mathrm{L}}=\mathrm{rpsin} \theta \hat{\mathrm{n}}\) \(\overrightarrow{\mathrm{L}}=\mathrm{r}_{\perp}(\mathrm{P}) \hat{\mathrm{n}}\) For \(D\) to \(A\)…
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