Question Number 196785 by Spillover last updated on 31/Aug/23 Answered by aleks041103 last updated on 03/Oct/23 $${Separation}\:{of}\:{variables} \\ $$$$\Psi\left({x},{t}\right)={X}\left({x}\right){T}\left({t}\right) \\ $$$$\Rightarrow{X}''{T}=−\frac{\mathrm{1}}{{c}^{\mathrm{2}} }{XT}'' \\ $$$$\Rightarrow\frac{{X}''}{{X}}=−\frac{\mathrm{1}}{{c}^{\mathrm{2}} }\:\frac{{T}\:''}{{T}}=−{a}^{\mathrm{2}}…
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Question Number 196697 by mr W last updated on 29/Aug/23 Commented by mr W last updated on 29/Aug/23 �� Commented by mr W last updated…
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Question Number 196493 by mr W last updated on 26/Aug/23 Commented by mr W last updated on 27/Aug/23 $${solution}\:{to}\:{question}\:#\mathrm{196172} \\ $$ Answered by mr W…
Question Number 196160 by peter frank last updated on 19/Aug/23 Commented by mr W last updated on 19/Aug/23 $${without}\:{a}\:{diagram}\:{other}\:{people}\:{can}'{t} \\ $$$${understand}\:{what}\:{you}\:{mean}\:{with} \\ $$$${water}\:{mark},\:{liquid}\:{mark}\:{etc}. \\ $$…
Question Number 195870 by mr W last updated on 12/Aug/23 Commented by mr W last updated on 12/Aug/23 $${find}\:{the}\:{minimum}\:{speed}\:{with}\:{which} \\ $$$${the}\:{ball}\:{is}\:{launced}\:{from}\:{point}\:{A}\:{such} \\ $$$${that}\:{it}\:{can}\:{return}\:{to}\:{this}\:{point}\:{again} \\ $$$${after}\:{rebounded}\:{at}\:{point}\:{B}.…
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Question Number 131071 by mr W last updated on 01/Feb/21 Commented by mr W last updated on 01/Feb/21 $${a}\:{small}\:{ball}\:{of}\:{mass}\:{m}\:{is}\:{fixed}\:{on} \\ $$$${the}\:{inner}\:{wall}\:{of}\:{a}\:{hollow}\:{cylinder} \\ $$$${of}\:{radius}\:{R}\:{and}\:{mass}\:{M}. \\ $$$${the}\:{cylinder}\:{is}\:{released}\:{from}\:{rest}…