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

1 Answer
Jul 18, 2018

Answer:

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*r^2#.

For the true false question to be true,

#I# would be #m/r^2 rarr# which it is not,

I hope this helps,
Steve