Solution Found!
Answer: Find the moment of inertia of a hoop (a
Chapter 9, Problem 54E(choose chapter or problem)
QUESTION:
Problem 54E
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop’s plane at an edge.
Questions & Answers
QUESTION:
Problem 54E
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop’s plane at an edge.
ANSWER:
Step 1 of 2
The moment of inertia of the hoop about the axis passing through it’s center which is parallel to the plane of the hoop is,
.
By perpendicular axis theorem,
.
Where are the respective moment of inertias along the three perpendicular axes.
But by symmetry, .
So,
.