A 5.0-kg mass is placed at (3.0, 4.0) m, and a 6.0-kg mass is placed at (3.0, -4.0) m. What is the moment of inertia of this system of masses about the y-axis?

Question

asked Aug 22, 2022 2.8k views

1 Answer

Mallow · Answer 1 · 2022-08-27T23:13:07+0000

Answer:

the moment of inertia of this system of masses about the y-axis is 99 kgm²

Step-by-step explanation:

Given the data in the question;

mass m₁ = 5.0 kg at point ( 3.0, 4.0 )

mass m₂ = 6.0 kg at point ( 3.0, -4.0 )

Now, Moment of inertia
of this system of masses about the y-axis will be;

Moment of inertia
ₓ = mixi²

Moment of inertia
= m₁x₁² + m₂x₂²

we substitute

Moment of inertia
= [ 5.0 × ( 3 )² ] + [ 6.0 × ( 3 )² ]

Moment of inertia
= [ 5.0 × 9 ] + [ 6.0 × 9 ]

Moment of inertia
= 45 + 54

Moment of inertia
= 99 kgm²

Therefore, the moment of inertia of this system of masses about the y-axis is 99 kgm²