Question Number 146026 by ajfour last updated on 10/Jul/21 Commented by ajfour last updated on 10/Jul/21 $${lets}\:{assume}\:{no}\:{friction}..{so} \\ $$$${slides}. \\ $$ Commented by ajfour last…
Question Number 145751 by ajfour last updated on 07/Jul/21 Commented by ajfour last updated on 07/Jul/21 $${Find}\:{the}\:{minimum}\:{energy}\:{that} \\ $$$${need}\:{be}\:{expended}\:{by}\:{pulling} \\ $$$${on}\:{one}\:{of}\:{the}\:{carpets}\:{with} \\ $$$${a}\:{force}\:\left({may}\:{vary}\right)\:{in}\:{the} \\ $$$${shown}\:{direction}\:{to}\:{detach}…
Question Number 80057 by ajfour last updated on 30/Jan/20 Commented by ajfour last updated on 30/Jan/20 $${If}\:{released}\:{as}\:{shown}\:{in}\:{upper} \\ $$$${diagram},\:{after}\:{what}\:{time}\:{does} \\ $$$${the}\:{upper}\:{sphere}\:{loose}\:{contact}, \\ $$$${with}\:{the}\:{lower}\:{ones}? \\ $$…
Question Number 145483 by ajfour last updated on 05/Jul/21 Commented by ajfour last updated on 05/Jul/21 $${If}\:{released}\:{in}\:{this}\:{orientation}, \\ $$$${how}\:{long}\:{shall}\:{it}\:{take}\:{the}\:{other} \\ $$$${wheel}\:{of}\:{the}\:{crate}\:{to}\:{hit}\:{the} \\ $$$${ground}?\:\:\left({no}\:{friction}\:{anywhere}\right) \\ $$…
Question Number 145285 by SinNombre last updated on 03/Jul/21 $${x}=\mathrm{2}−\mathrm{2}+\mathrm{2}−\mathrm{2}+\mathrm{2}−\ldots+\mathrm{2}−\mathrm{2}+\mathrm{2}=\mathrm{2} \\ $$ Commented by phally last updated on 04/Jul/21 $$\mathrm{x}_{\mathrm{1}} =\mathrm{2}+\mathrm{2}+\mathrm{2}+…+\mathrm{2}\:\left\{\mathrm{n}+\mathrm{1}\right\} \\ $$$$\mathrm{x}_{\mathrm{2}} =−\left(\mathrm{2}+\mathrm{2}+\mathrm{2}+…\mathrm{2}\right)\left\{{n}\right\} \\…
Question Number 145193 by mr W last updated on 03/Jul/21 Commented by mr W last updated on 03/Jul/21 $${an}\:{uniform}\:{rod}\:{is}\:{released}\:{horizontally} \\ $$$${at}\:{height}\:{h}\:{over}\:{the}\:{top}\:{of}\:{a}\:{tall}\:{wall}. \\ $$$${find}\:{the}\:{position}\:{where}\:{the}\:{rod} \\ $$$${strikes}\:{the}\:{wall}\:{for}\:{the}\:{second}\:{time}…
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Question Number 144496 by ajfour last updated on 25/Jun/21 Commented by ajfour last updated on 25/Jun/21 $${A}\:{rod}\:{is}\:{to}\:{be}\:{released}\: \\ $$$${horizontally}\:{at}\:{height}\:{y}\: \\ $$$${such}\:{that}\:{it}\:{hits}\:{ground} \\ $$$${in}\:{vertical}\:{orientation}. \\ $$$${Find}\:{y}\:{in}\:{terms}\:{of}\:{a},{b},{h}.…
Question Number 144420 by ajfour last updated on 25/Jun/21 Commented by ajfour last updated on 25/Jun/21 $${Two}\:{cylinders}\:{one}\:{on}\:{top}\:{of} \\ $$$${another}\:{are}\:{released}\:{and} \\ $$$${motion}\:{initiated}\:{with}\:{a}\:{mild} \\ $$$${disturbance}.\:{If}\:{all}\:{surfaces} \\ $$$${are}\:{frictionless}\:{find}\:{the}…
Question Number 144353 by ajfour last updated on 24/Jun/21 Commented by ajfour last updated on 24/Jun/21 $${The}\:{hollow}\:{cylinder}\:{and}\:{the} \\ $$$${plank}\:{are}\:{in}\:{equilibrium}, \\ $$$${string}\left({belt}\right)\:{length}\:{is}\:\mathrm{9}{r}. \\ $$$${If}\:{resulting}\:{tension}\:{in}\:{belt} \\ $$$${is}\:\lambda{mg},\:{find}\:\lambda.…