Optimized 3.2.22 for mobile version

astrosander edited
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revision #387 parent #374 GitHub 964fe78 ← older newer →
ru/3.2.22.md +1 −1
@@ -179,7 +179,7 @@
$\ddot{x}(t)+\frac{g}{\sqrt{R^2-l^2}}x(t)=0$<br><br>
$\omega^2=\fbox{$\frac{g}{\sqrt{R^2-l^2}}$}$<br><br>
б) $\omega^2=\frac{\alpha}{\beta}$<br><br>
− $E_p=2mgR'(1-cos\varphi)=2mg\sqrt{R^2-l^2}(1-cos\varphi)\approx \frac{2mg\sqrt{R^2-l^2}}{2}\varphi^2$<br><br>
+ $E_p=2mgR'(1-cos\varphi)$$=2mg\sqrt{R^2-l^2}(1-cos\varphi)$$\approx \frac{2mg\sqrt{R^2-l^2}}{2}\varphi^2$<br><br>
$\alpha=\frac{2mg\sqrt{R^2-l^2}}{2}$<br><br>
$E_k=\frac{2m\upsilon^2}{2}=\frac{2m\omega^2R^2}{2}=\frac{2mR^2}{2}\dot{\varphi}^2$<br><br>
$\beta=\frac{2mR^2}{2}$<br><br>
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