A uniform cube is positioned in unstable equilibrium on one of its edges. It's given a small nudge. Show the angular velocity when one face hits the ground is [tex] \frac{12g}{5l}(\sqrt{2}-1)[/tex], when the block slips without friction, where l is the length of its side.(adsbygoogle = window.adsbygoogle || []).push({});

It seems to me the best approach is to use energy conservation:

[tex]mg\frac{l}{\sqrt{2}}=\frac{1}{2}I_{CM}\omega^2+\frac{1}{2}mv_{CM}^2+mg\frac{l}{2}[/tex]. However, the difficulty seems to arise in finding a relation between v_CM and \omega. Any ideas?

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# Homework Help: Angular Velocity Problem

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