A rod attached to a vertical spring system - by Lagrangian mechanics

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In this video, we try to find the equations of the motion of a system with a rod attached to a vertical spring system by using the Lagrangian mechanics.

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Background music:
0:00 - 1:55 Dream Of The Ancestor - Asher Fulero (from YouTube Audio Library)

1:56 - 4:13 Unknown Longing - Asher Fulero (from YouTube Audio Library)
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You helped me understand it for my test thank you ^-^

xwolfieX
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moment of inertia about an end is 1/3mr^2

jaisman_