- #1
catmando
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Homework Statement
Find the moment of inertia of a circular thin cylindrical surface which ranges from -α/2 to α/2.
So looks like - )
The dash being the origin.
It basically looks like one fifth of a circular ring.
Homework Equations
I = mr²
The Attempt at a Solution
area of ring = ar . dr
I = ∫ (area of ring) (radius of ring)²
I = ∫ (ar . dr) (r)²
integrated this between 0 and r to get
I = ar^4 / 4