The angular momentum of a body with mass (m), moment of

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The angular momentum of a body with mass (m), moment of inertia (I) and angular velocity (ω) rad/sec is equal to

1. Iω
2. Iω²
3. I/ω
4. I/ω²

Correct Option: A

Let body contain m₁, m₂, m₃........m_n masses at distance r₁, r₂, r₃ ........ r_n from axis OA.
Angular momentum of body
= m₁v₁r₁ + m₂v₂r₂ .....+ m_nv_nr_n
= m₁(ωr₁)r₁ + m₂(ωr₂)r₂ .......... + m_n(ωr_n)r_n
= (m₁r₁²)ω + (m₂r₂²)ω .......... + (m_nr_n²)ω