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(Solved): Determine the differential equation of motion of the system indicated in the figure, where the momen ...



Determine the differential equation of motion of the system indicated in the figure, where the moment of inertia of w is J. Show that the system becomes unstable when b is greater than k*a^2/w

rigura 1,ob
\[
J_{0} \ddot{\theta}+\left(k a^{2}-W b\right) \theta=0
\]
rigura 1,ob


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Given
Mass moment of inertia of W about O =   
FBD assuming small angle approximation


For small angle...
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