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Given: m₁ = 2 kg, m₂ = 4 kg, r₁ = 0.2 m, r₂ = 0.1 m, ω₁ = 50 rad/s, ω₂ = 200 rad/s. Calculate the angular momentum.

1. I₁ω₁ + I₂ω₂
2. I₁ω₁ − I₂ω₂
3. I₁ω₁ × I₂ω₂
4. I₁ω₁/I₂ω₂

Correct answer: I₁ω₁ + I₂ω₂

Solution

The angular momentum of a system is calculated as the sum of the individual angular momenta, which is given by I₁ω₁ + I₂ω₂. Here, I₁ and I₂ are the moments of inertia of the two masses, and ω₁ and ω₂ are their respective angular velocities.

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