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Category: Mechanics

Does-anyone-know-how-this-works-I-have-d-x-2-cy-2-dy-And-my-physics-teacher-says-it-is-or-can-be-a-harmonic-function-0-Can-anyone-explain-

Question Number 206273 by EmGent last updated on 10/Apr/24 $$\mathrm{Does}\:\mathrm{anyone}\:\mathrm{know}\:\mathrm{how}\:\mathrm{this}\:\mathrm{works}\:? \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{have}\:{d}\psi\:=\:\left({x}^{\mathrm{2}} -{cy}^{\mathrm{2}} \right){dy} \\ $$$$ \\ $$$$\mathrm{And}\:\mathrm{my}\:\mathrm{physics}\:\mathrm{teacher}\:\mathrm{says}\:\mathrm{it}\:\mathrm{is}\:\left(\mathrm{or}\:\mathrm{can}\right. \\ $$$$\left.\mathrm{be}\right)\:\mathrm{a}\:\mathrm{harmonic}\:\mathrm{function}\:\left(\Delta\psi\:=\:\mathrm{0}\right) \\ $$$$\mathrm{Can}\:\mathrm{anyone}\:\mathrm{explain}\:? \\…

Question-203794

Question Number 203794 by mr W last updated on 28/Jan/24 Commented by mr W last updated on 28/Jan/24 $${a}\:{triangual}\:{uniform}\:{thin}\:{rod}\:{frame}\: \\ $$$${with}\:{side}\:{lengthes}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:\boldsymbol{{c}}\:{and}\:{mass}\: \\ $$$$\boldsymbol{{M}}\:{is}\:{suspended}\:{through}\:{three}\:{thin} \\ $$$${strings}\:{with}\:{lengthes}\:\boldsymbol{{p}},\:\boldsymbol{{q}},\:\boldsymbol{{r}}\:{at}\:{its}…

Question-202816

Question Number 202816 by ajfour last updated on 03/Jan/24 Commented by ajfour last updated on 03/Jan/24 $${With}\:{what}\:{constant}\:{force}\:{should} \\ $$$${trolley}\:{be}\:{pushed}\:{towards}\:{left}\:{such} \\ $$$${that}\:{inclination}\:{of}\:{plank}\:{dont}\:{change} \\ $$$${and}\:{system}\:{moves}\:{at}\:{uniform}\:{speed}? \\ $$…

Question-200428

Question Number 200428 by Spillover last updated on 18/Nov/23 Answered by ajfour last updated on 18/Nov/23 $${F}={mg}−\frac{{kv}^{\mathrm{2}} }{\mathrm{2}} \\ $$$$\frac{{vdv}}{{dx}}={g}−\frac{{kv}^{\mathrm{2}} }{\mathrm{2}{m}}=−\frac{{k}}{\mathrm{2}{m}}\left({v}^{\mathrm{2}} −\frac{\mathrm{2}{mg}}{{k}}\right) \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\:{v}}…

Question-200137

Question Number 200137 by ajfour last updated on 14/Nov/23 Commented by ajfour last updated on 14/Nov/23 $${Find}\:{range}\:{of}\:{M}\:\left({x}\:{coordinate}\:{of}\right. \\ $$$$\left.{point}\:{where}\:{it}\:{hits}\:{x}\:{axis}\right),\:{if}\:\mathrm{2}{M}\:{is} \\ $$$${dropped}\:{from}\:{height}\:{h}\:{and}\:{hits} \\ $$$${left}\:{gear}\:{elastically}. \\ $$…