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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीA two-particle system consists of particle 1 of mass \( 2\text{ kg} \) at \( \mathbf{r}_1 = (\hat{i} + 2\hat{j})\text{ m} \) with velocity \( \mathbf{v}_1 = (3\hat{i} - \hat{j})\text{ m/s} \), and particle 2 of mass \( 3\text{ kg} \) at \( \mathbf{r}_2 = (-2\hat{i} + \hat{j})\text{ m} \) with velocity \( \mathbf{v}_2 = (\hat{i} + 2\hat{j})\text{ m/s} \). The total angular momentum of the system about the origin is:
Correct answer · Option 4
\( -29\hat{k}\text{ kg m}^2/\text{s} \)
Explanation
\( \mathbf{L} = m_1(\mathbf{r}_1 \times \mathbf{v}_1) + m_2(\mathbf{r}_2 \times \mathbf{v}_2) = 2(-7\hat{k}) + 3(-5\hat{k}) = -14\hat{k} - 15\hat{k} = -29\hat{k}\text{ kg m}^2/\text{s} \).
