Angular Momentum of a Two-Particle System

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Two particles, each of mass $m$ , are attached to the ends of a massless rod of length $2L$ . The system rotates with angular velocity $\omega$ about an axis perpendicular to the rod and passing through its center. What is the total angular momentum of the system about this axis?

$\frac{1}{2}mL^2\omega$

$4mL^2\omega$

$2mL^2\omega$

$mL^2\omega$

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