A point of rigid body is pivoted in way that the body can rotate freely about a horizontal axis passing thorough the point of suspension. Show that the frequency of small oscillations is given by \[\omega^2= \frac{Mgh}{Mh^2 + I_1n_1^2+I_2n_2^2+I_3n_3^2}\] where \(I_1, I_2, I_3\) are principal moments of inertia about the centre of mass and \(h\) is distance of centre of mass from the point of suspension. |
Landau
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4727:Diamond Point
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