Question Number 223875 by mr W last updated on 08/Aug/25 Commented by mr W last updated on 08/Aug/25 $${Q}\mathrm{223653} \\ $$ Terms of Service Privacy…
Question Number 223741 by mr W last updated on 04/Aug/25 Commented by mr W last updated on 03/Aug/25 $${as}\:{Q}\mathrm{223720},\:{but}\:{the}\:{question}\:{is}: \\ $$$$\underline{{after}\:{what}\:{time}}\:{will}\:{the}\:{mass}\:{M}\: \\ $$$${hit}\:{the}\:{wall}? \\ $$…
Question Number 223653 by ajfour last updated on 01/Aug/25 Commented by ajfour last updated on 01/Aug/25 $${Find}\:\theta\:{and}\:{k}. \\ $$$${We}\:{need}\:{to}\:{just}\:{make}\:{the}\:{ball}\:{make} \\ $$$${it}\:{to}\:{the}\:{cliff}.\:{The}\:{ground}\:{is}\:{frictionless}. \\ $$ Answered by…
Question Number 222520 by mr W last updated on 29/Jun/25 Commented by mr W last updated on 29/Jun/25 $${a}\:{ball}\:{is}\:{released}\:{at}\:{the}\:{point}\:\left({d},\:{h}\right) \\ $$$${on}\:{to}\:{the}\:{ground}\:\:{which}\:{has}\:{the}\: \\ $$$${shape}\:{of}\:{a}\:{hyperbola} \\ $$$${with}\:{equation}\:−\frac{{x}^{\mathrm{2}}…
Question Number 222419 by ajfour last updated on 26/Jun/25 Commented by ajfour last updated on 26/Jun/25 $$\bar {{v}}=\mathrm{5}\left(\mathrm{sin}\:\theta\hat {{i}}+\mathrm{cos}\:\theta\hat {{j}}\right)\:\:\:\:\:\theta\:{constant}. \\ $$$${Find}\:\:\:\:\:\frac{{Y}}{{T}}\left(\theta\right).\:{Hence}\:\theta\:{such}\:{that} \\ $$$$\frac{{Y}}{{T}}\left(\theta\right)\:{is}\:{a}\:{maximum}. \\…
Question Number 222123 by mr W last updated on 18/Jun/25 Commented by mr W last updated on 18/Jun/25 $${a}\:{ball}\:{is}\:{released}\:{at}\:{the}\:{point}\:\left({d},\:{h}\right) \\ $$$${and}\:{is}\:{rebounded}\:{from}\:{the}\:{ground}\: \\ $$$${which}\:{has}\:{the}\:{shape}\:{of}\:{a}\:{hyperbola} \\ $$$${with}\:{equation}\:−\frac{{x}^{\mathrm{2}}…
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Question Number 221218 by MATHEMATICSAM last updated on 27/May/25 Commented by MATHEMATICSAM last updated on 27/May/25 $$\left.\mathrm{1}\right)\:\mathrm{Three}\:\mathrm{blocks}\:\mathrm{are}\:\mathrm{arranged}\:\mathrm{as}\:\mathrm{shown}\:\mathrm{in}\: \\ $$$$\mathrm{the}\:\mathrm{figure}.\:\mathrm{The}\:\mathrm{whole}\:\mathrm{system}\:\mathrm{is}\:\mathrm{placed}\:\mathrm{on} \\ $$$$\mathrm{a}\:\mathrm{smooth}\:\mathrm{horizontal}\:\mathrm{plane}.\:\mathrm{Coefficient}\:\mathrm{of} \\ $$$$\mathrm{friction}\:\mathrm{between}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{and}\:\mathrm{5}\:\mathrm{kg}\:\mathrm{block} \\ $$$$\mathrm{is}\:\mathrm{0}.\mathrm{1},\:\mathrm{between}\:\mathrm{the}\:\mathrm{5}\:\mathrm{kg}\:\mathrm{and}\:\mathrm{3}\:\mathrm{kg}\:\mathrm{block}\:\mathrm{is}…
Question Number 219770 by ajfour last updated on 01/May/25 Commented by ajfour last updated on 01/May/25 $${A}\:{rolling}\:{cylinder}\:{of}\:{length}\:{L}\:{rolls} \\ $$$$\:{gathering}\:{moss}\:{at}\:{the}\:{rate}\:\frac{{dm}}{{dt}}=\rho_{\mathrm{0}} {Lv}.\: \\ $$$${Find}\:{radius}\:{r}\left({t}\right){and}\:{speed}\:{v}\left({t}\right)\:{of}\: \\ $$$${center}\:{of}\:{mass}. \\…
Question Number 219769 by mr W last updated on 01/May/25 Commented by mr W last updated on 01/May/25 $${a}\:{ball}\:{with}\:{mass}\:\boldsymbol{{m}}\:{and}\:{an}\:{uniform} \\ $$$${rod}\:{with}\:{mass}\:\boldsymbol{{M}}\:{and}\:{length}\:\boldsymbol{{L}}\:{are} \\ $$$${released}\:{from}\:{the}\:{rest}\:{at}\:{the}\:{same} \\ $$$${heigth}\:\boldsymbol{{h}}\:{as}\:{shown}.\:\left({L}>{h}\right)…