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23.4: Опрацьовані приклади
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$E=\frac{1}{2} M V_{c m}^{2}+\frac{1}{4} M R^{2}\left(\frac{V_{c m}}{R}\right)^{2}+\frac{1}{2} k x^{2}=\frac{3}{4} M V_{c m}^{2}+\frac{1}{2} k x^{2} \nonumber$ \[0=\frac{d E}{d t}=\frac{3}{4} 2 M V... $E=\frac{1}{2} M V_{c m}^{2}+\frac{1}{4} M R^{2}\left(\frac{V_{c m}}{R}\right)^{2}+\frac{1}{2} k x^{2}=\frac{3}{4} M V_{c m}^{2}+\frac{1}{2} k x^{2} \nonumber$ $0=\frac{d E}{d t}=\frac{3}{4} 2 M V_{c m} \frac{d V_{c m}}{d t}+\frac{1}{2} k 2 x \frac{d x}{d t}=V_{c m}\left(\frac{3}{2} M \frac{d^{2} x}{d t^{2}}+k x\right) \nonumber$ $0=\frac{d E}{d t}=\rho A L v_{x} \frac{d v_{x}}{d t}+2 \rho A g x \frac{d x}{d t} \nonumber$