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Category: Mechanics

Question-145483

Question Number 145483 by ajfour last updated on 05/Jul/21 Commented by ajfour last updated on 05/Jul/21 $${If}\:{released}\:{in}\:{this}\:{orientation}, \\ $$$${how}\:{long}\:{shall}\:{it}\:{take}\:{the}\:{other} \\ $$$${wheel}\:{of}\:{the}\:{crate}\:{to}\:{hit}\:{the} \\ $$$${ground}?\:\:\left({no}\:{friction}\:{anywhere}\right) \\ $$…

x-2-2-2-2-2-2-2-2-2-

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-145193

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}…

Question-144496

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-144420

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-144353

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.…

Question-143868

Question Number 143868 by ajfour last updated on 19/Jun/21 Commented by ajfour last updated on 19/Jun/21 $${Find}\:{minimum}\:{h}\:{such}\:{that} \\ $$$${stick}\:{just}\:{loses}\:{contact}\:{with} \\ $$$${table}\:{upon}\:{being}\:{hit}\:{by}\:{a}\:{small} \\ $$$${ball}\:{of}\:{mass}\:{m}\:{released}\:{a} \\ $$$${height}\:{h}\:{above}\:{the}\:{table}\:{top}…

Question-143666

Question Number 143666 by ajfour last updated on 16/Jun/21 Commented by ajfour last updated on 19/Jun/21 $${If}\:{the}\:{upper}\:{disc}\:{is}\:{released} \\ $$$${at}\:{angle}\:\alpha,\:{find}\:\alpha\:{such}\:{that} \\ $$$${disc}\:{loses}\:{contact}\:{with} \\ $$$${the}\:{fixed}\:{hemisphere}\:{just} \\ $$$${when}\:{it}\:{hits}\:{the}\:{ground}.…