- #1
joahe
- 6
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Homework Statement
https://scontent-sea1-1.xx.fbcdn.net/hphotos-xft1/v/t35.0-12/12414351_10206719685063143_386848762_o.jpg?oh=16c004481b7417fad921c37acc4942be&oe=56793416
Homework Equations
Angular momentum: H= Iw
Parallel axis theorem: Io = I + Md^2
Moment of Inertia of thin plate about it's center: (1/12)M(a^2+b^2)
The Attempt at a Solution
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I calculated the initial moment of inertia of the satellite system by summing the moments of inertia for the four solar panels with the satellite.
H(initial) = Inertia of satellite + 4 * Inertia of each solar panel
= (0.940) + 4 [ (1/12) (20 kg) (0.75^2 + 0.2^2) + (20 kg) (0.575)^2 ]
The moment of inertia was taken about the centroid of each solar panel and then parallel axis theorem was used to find the moment of inertia about the origin.
H(final) = Inertia of satellite + 4 * Inertia of each solar panel
= 0.940 + 4 [ (20 kg) (0.2)^2 ]
The moment of inertia for the solar panels is considered to be the same as a point mass since it is vertical
My questions are:
a) Can we calculate the moment of inertia of a solar panel as if it's a point mass (post-rotation when it's vertical)?
b) Where did the numbers from the solution come from?
Thanks for taking the time to help