Answer:
Option (d)
The angular momentum of the system is 5 Kg-m²/s
Explanation:
Angular momentum: Angular momentum is the product of angular velocity and of moment of inertia.
Angular momentum is dented by L
And the unit of angular momentum is Kg-m²/s
L= I×ω
I is momentum of inertia
ω is angular velocity.
The unit of angular velocity is red/s.
Momentum of inertia : Momentum of inertia is the sum square the perpendicular distance from the rotational axis to of product mass of each particle of the body.
[tex]I=\sum Mr^2[/tex]
The S.I unit of momentum of inertia is kg-m²
The angular momentum of a system is:
L= ∑I ω
=∑ Mr²ω [ Since [tex]I=\sum Mr^2[/tex]]
Given , M= 1 kg, r₁=1 m , r₂= 2 m and ω = 1 rad/s.
The angular momentum of the system is
L= Mr₁²ω+Mr₂²ω
= Mω(r₁²+r₂²)
= {1×1 (1²+2²)}
=5 Kg-m²/s
