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Author: Tinku Tara

Question-215608

Question Number 215608 by ajfour last updated on 11/Jan/25 Commented by ajfour last updated on 11/Jan/25 $${The}\:{charged}\:{masses}\:{released}\:{as}\:{shown}. \\ $$$${Find}\:{their}\:{speeds}\:{when}\:{they}\:{get}\:{in}\:{line}. \\ $$$${I}\:{wonder}\:{if}\:{this}\:{gets}\:{periodic}\:{for}\:{certain} \\ $$$${appropriate}\:{ratios}! \\ $$…

Question-215601

Question Number 215601 by SaidYousaf last updated on 11/Jan/25 Commented by mr W last updated on 11/Jan/25 $${please}\:{post}\:{only}\:{questions}, \\ $$$${comments}\:{or}\:{answers},\:{no}\:{photos} \\ $$$${which}\:{have}\:{nothing}\:{to}\:{do}\:{with}\:{the} \\ $$$${questions}!\:{thanks}! \\…

Question-215593

Question Number 215593 by mr W last updated on 11/Jan/25 Commented by mr W last updated on 11/Jan/25 $${a}\:{solid}\:{ball}\:{with}\:{radius}\:\boldsymbol{{r}}\:{and}\:{mass} \\ $$$$\boldsymbol{{m}}\:{is}\:{given}\:{a}\:{speed}\:\boldsymbol{{u}}\:{on}\:{a}\:{rough}\: \\ $$$${horizontal}\:{surface}.\:{the}\:{friction} \\ $$$${coefficient}\:{is}\:\boldsymbol{\mu}.…

Let-u-1-u-2-s-t-u-tt-1-2-x-1-2-2-x-i-2-u-1-u-1-x-1-x-2-0-x-1-x-2-u-1-x-1-x-2-0-0-u-tt-2-2-x-1-2-

Question Number 215550 by MrGaster last updated on 10/Jan/25 $$\boldsymbol{\mathrm{Let}}\:\boldsymbol{{u}}^{\left(\mathrm{1}\right)} ,\boldsymbol{{u}}^{\left(\mathrm{2}\right)} \boldsymbol{\mathrm{s}}.\boldsymbol{\mathrm{t}}.\begin{cases}{\boldsymbol{{u}}_{\boldsymbol{{tt}}} ^{\left(\mathrm{1}\right)} =\left(\frac{\partial^{\mathrm{2}} }{\partial\boldsymbol{{x}}_{\mathrm{1}} ^{\mathrm{2}} }+\frac{\partial^{\mathrm{2}} }{\partial\boldsymbol{{x}}_{{i}} ^{\mathrm{2}} }\right)\boldsymbol{{u}}^{\left(\mathrm{1}\right)} }\\{\boldsymbol{{u}}^{\left(\mathrm{1}\right)} \left(\boldsymbol{{x}}_{\mathrm{1}} ,\boldsymbol{{x}}_{\mathrm{2}} ,\mathrm{0}\right)=\boldsymbol{\psi}\left(\boldsymbol{{x}}_{\mathrm{1}} ,\boldsymbol{{x}}_{\mathrm{2}}…