Question

The distance of a system of particles from its axis of rotation is increased. How will this affect the moment of inertia of the system?

• A. The moment of inertia of the system increases
• B. The moment of inertia of the system decreases
• C. The moment of inertia of the system remains same
• D. None of these

Answer 1

The correct option is A The moment of inertia of the system increases

The moment of inertia of a system of particles is given by the formula,
$I=m_1{r}_1^2+m_2{r}_2^2+...+...m_n{r}_n^2$

Where, $m$ and $r$ are the mass and $(\perp )$ distance of particles from the axis of rotation.
$n$ is the number of particles in the system.

Hence when the distance from the axis of rotation increases, the moment of inertia of the system of particles increases.
The correct option is (a).