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Category: Mechanics

Question-29687

Question Number 29687 by ajfour last updated on 11/Feb/18 Commented by ajfour last updated on 11/Feb/18 $${Find}\:{the}\:{final}\:{velocity}\:{gained}\:{by}\:{a} \\ $$$${tank}\:{of}\:{mass}\:{M},\:{initially}\:{completely} \\ $$$${filled}\:{with}\:{water}\:{and}\:{at}\:{rest},\:{as}\:{it} \\ $$$${slips}\:{on}\:{a}\:{frictionless}\:{ground}\:{owing} \\ $$$${to}\:{a}\:{small}\:{opening}\:{at}\:{its}\:{base}\:{of}…

Question-29611

Question Number 29611 by ajfour last updated on 10/Feb/18 Commented by ajfour last updated on 10/Feb/18 $${Find}\:{direction}\:{cosines}\:{of}\:{vector}\:\bar {\boldsymbol{{r}}}\:. \\ $$$$\left({in}\:{a}\:{cyclic}\:{form}\:{in}\:{terms}\:{of}\right. \\ $$$$\left.\theta,\phi,\:{and}\:\psi\:\right). \\ $$ Commented…

An-object-undergoes-constant-acceleration-after-starting-from-rest-and-then-travels-5m-in-the-first-second-Determine-how-far-it-will-go-in-the-next-second-a-15m-b-10m-c-20m-d-5m-

Question Number 29463 by NECx last updated on 09/Feb/18 $${An}\:{object}\:{undergoes}\:{constant} \\ $$$${acceleration}\:{after}\:{starting}\:{from} \\ $$$${rest}\:{and}\:{then}\:{travels}\:\mathrm{5}{m}\:{in}\:{the} \\ $$$${first}\:{second}.{Determine}\:{how}\:{far} \\ $$$${it}\:{will}\:{go}\:{in}\:{the}\:{next}\:{second}. \\ $$$$\left.{a}\left.\right)\left.\mathrm{1}\left.\mathrm{5}{m}\:\:{b}\right)\mathrm{10}{m}\:{c}\right)\mathrm{20}{m}\:{d}\right)\mathrm{5}{m} \\ $$$$ \\ $$$$ \\…

An-arrow-is-projected-straight-upwards-at-a-speed-of-100m-s-With-what-speed-will-it-return-to-the-ground-if-air-resistance-is-ignored-

Question Number 29464 by NECx last updated on 09/Feb/18 $${An}\:{arrow}\:{is}\:{projected}\:{straight} \\ $$$${upwards}\:{at}\:{a}\:{speed}\:{of}\:\mathrm{100}{m}/{s}. \\ $$$${With}\:{what}\:{speed}\:{will}\:{it}\:{return}\:{to} \\ $$$${the}\:{ground}\:{if}\:{air}\:{resistance}\:{is} \\ $$$${ignored}? \\ $$ Answered by mrW2 last updated…

Question-29418

Question Number 29418 by ajfour last updated on 08/Feb/18 Commented by ajfour last updated on 08/Feb/18 $${If}\:{sphere}\:\left({blue}\right)\:{starts}\:{rolling} \\ $$$${down}\:{from}\:{top}\:{of}\:{a}\:{semi}\:{cylindrical} \\ $$$${surface}\:\left({motion}\:{just}\:{initiated}\:{here}\right), \\ $$$${and}\:{coefficient}\:{of}\:{friction}\:{between} \\ $$$${them}\:{is}\:\boldsymbol{\mu},\:{find}\:{at}\:{what}\:{angle}\:\boldsymbol{\theta}…