How to proof mass moment of inertia formula for a hoop with axis across the diameter?
Moment of inertia of the hoop is given by:
#1/2mr^2#
How to proof that?
You may attach a hyperlink or write down the derivation from #I=mr^2# .
Thanks
Moment of inertia of the hoop is given by:
How to proof that?
You may attach a hyperlink or write down the derivation from
Thanks
1 Answer
Jul 20, 2017
See the proof below
Explanation:
The volume is
The thickness is
The radius of the hoop is
The density is
The moment of inertia is
As the axis is across the diameter
The distance from the differential mass
Therefore, substituting in the integral, we integrate from