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Hairy Dude (talk | contribs) →Theory: use display="block" rather than abusing invalid deflist markup Tags: Mobile edit Mobile web edit Advanced mobile edit |
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Under [[torque]]–free conditions, they take the following form:
\begin{align}
I_1\dot{\omega}_1 &=(I_3-I_2)\omega_3\omega_2~~~~~~~~~~~~~~~~~~~~\text{(1)}\\
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Now, differentiating equation (2) and substituting <math>\dot{\omega}_3</math> from equation (3),
\begin{align}
I_2 \ddot{\omega}_2 &= (I_1-I_3) \omega_1\dot{\omega}_3 \\
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Now, differentiating equation (1) and substituting <math>\dot{\omega}_3</math> from equation (3),
\begin{align}
I_1 I_3 \ddot{\omega}_1 &= (I_3 - I_2) (I_2 - I_1) (\omega_2)^2\omega_1\\
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