# True or false? -MOMENT of inertia of a particle rotation about an axis decrease when it's distance from the axis increase. Thanks

Jul 18, 2018

False!

#### Explanation:

That is false. When the mass is concentrated more at a distance from the axis of rotation, the MOMENT of inertia increases dramatically because of it. If you compare swinging a baseball bat from the handle to swinging it from the fat end, you will feel the difference. (Or substitute a hammer for the bat)

The formula for a point mass on a massless handle is $I = m \cdot {r}^{2}$.

For the true false question to be true,

$I$ would be $\frac{m}{r} ^ 2 \rightarrow$ which it is not,

I hope this helps,
Steve