Question Number 177332 by mr W last updated on 03/Oct/22 Commented by mr W last updated on 04/Oct/22 $${the}\:{question}\:{is}\:{to}\:{find}\:{the}\:{maximum} \\ $$$${value}\:{of}\:{x}\:{such}\:{that}\:{the}\:{rod}\:{doesn}'{t} \\ $$$${slip}. \\ $$$$\left[{Q}\mathrm{90331}\right]…
Question Number 46194 by ajfour last updated on 22/Oct/18 Commented by ajfour last updated on 25/Oct/18 $${If}\:{the}\:{cylinders}\:\left({radius}\:{r},\:{mass}\:{m}\right) \\ $$$${are}\:{released}\:{as}\:{shown},\:{find}\:{the} \\ $$$${Normal}\:{Reactions}\:{N}\:{as}\:{as}\:{a} \\ $$$${function}\:{of}\:{time}\:{t}. \\ $$$${Assume}\:{all}\:{surfaces}\:{frictionless}.…
Question Number 46180 by ajfour last updated on 22/Oct/18 Commented by ajfour last updated on 22/Oct/18 $${If}\:{the}\:{stick}\:{is}\:{released}\:{in}\:{the} \\ $$$${position}\:{as}\:{shown}\:{in}\:{diagram}, \\ $$$${end}\:{A}\:\:{slides}\:{on}\:{yz}\:{wall}\:{then} \\ $$$${loses}\:{contact}\:{with}\:{it}\:{at}\:{P}.\:{Find} \\ $$$${coordinates}\:{of}\:{P}.\:{Assume}\:{all}…
Question Number 177240 by peter frank last updated on 02/Oct/22 $$\mathrm{Imagine}\:\mathrm{that}\:\mathrm{a}\:\mathrm{hole}\:\mathrm{is}\:\mathrm{drilled} \\ $$$$\mathrm{from}\:\mathrm{one}\:\mathrm{point}\:\mathrm{on}\:\mathrm{the}\:\mathrm{earth}\: \\ $$$$\mathrm{surface}\:\mathrm{to}\:\mathrm{the}\:\mathrm{other}\:\mathrm{side}\:\mathrm{through}\:\mathrm{the} \\ $$$$\mathrm{diameter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{and}\:\mathrm{small} \\ $$$$\mathrm{of}\:\mathrm{mass}\:\:^{'} \mathrm{m}^{'} \:\mathrm{released}\:\mathrm{into}\:\mathrm{the}\:\mathrm{hole}. \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{hole}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{excute} \\ $$$$\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{motion}\:\mathrm{and}…
Question Number 46144 by Rio Michael last updated on 21/Oct/18 $$\:{Object}\:{A}\:{is}\:{in}\:{motion}.{A}\:{moves}\:{at}\:{a}\:{velocity}\:{of}\: \\ $$$$\mathrm{12}{ms}^{−\mathrm{2}} \:{and}\:{B}\:{is}\:{still}\left({not}\:{moving}\right).{If}\:{A}\:{collides}\:{with}\:{B}. \\ $$$$\left.{a}\right)\:{Calculate}\:{the}\:{velocity}\:{at}\:{which}\:{B}\:{will}\:{move}\:{if}\:{it}\:{has}\:{mass} \\ $$$${of}\:\mathrm{70}{kg}.\:{and}\:{A}\:{has}\:{mass}\:{of}\:\mathrm{60}{kg}. \\ $$$$\left.{b}\right)\:{the}\:{momentum}\:{after}\:{collision}. \\ $$$$\left.{c}\left.\right)\left.\:{state}\:{the}\:{principle}\:{you}\:{applied}\:{in}\:{a}\right)\:{and}\:{b}\right)\:{above} \\ $$$$ \\…
Question Number 177214 by mr W last updated on 02/Oct/22 Commented by mr W last updated on 02/Oct/22 $${the}\:{friction}\:{coefficient}\:{between}\:{the} \\ $$$${thin}\:{rod}\:{and}\:{the}\:{ground}\:{as}\:{well}\:{as}\:{the} \\ $$$${wall}\:{is}\:\mu.\:{the}\:{length}\:{of}\:{the}\:{rod}\:{is}\:{L}.\: \\ $$$${find}\:{the}\:{condition}\:{which}\:{a}\:{and}\:{b}…
Question Number 46029 by rajabhay last updated on 20/Oct/18 Commented by rajabhay last updated on 20/Oct/18 $$\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{is}\:\mathrm{answer}\:\mathrm{given}\:\mathrm{in}\:\mathrm{book}. \\ $$$$\mathrm{Please}\:\mathrm{help}. \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{did}\:\mathrm{the}\:\mathrm{following} \\…
Question Number 46024 by ajfour last updated on 20/Oct/18 Commented by ajfour last updated on 27/Oct/18 $${An}\:{open}\:{cylindrical}\:{tank}\:{holds} \\ $$$${a}\:{little}\:{water}.{Find}\:{the}\: \\ $$$${level}\:{of}\:{free}\:{surface}\:{of}\:{water}\:{in} \\ $$$${tank}\:{when}\:{it}\:{is}\:\:{tilted}\:{by}\:{angle}\:\theta. \\ $$…
Question Number 111549 by Study last updated on 04/Sep/20 $${a}\:{car}\:{has}\:{a}\:{tire}\:{diameter}\:{of}\:\mathrm{0}.\mathrm{5}{m}\:{and} \\ $$$$\:{a}\:{speed}\:{of}\:\frac{\mathrm{80}{km}}{{hr}}\:{so}\:{how}\:{many}\:{cycles}\: \\ $$$${will}\:{this}\:{car}\:{hit}\:{in}\:\mathrm{3}\:{minutes}? \\ $$ Answered by Lordose last updated on 04/Sep/20 $$\boldsymbol{\mathrm{v}}=\frac{\boldsymbol{\mathrm{s}}}{\boldsymbol{\mathrm{t}}}=\frac{\mathrm{80}\boldsymbol{\mathrm{km}}}{\mathrm{1}\boldsymbol{\mathrm{hr}}}=\frac{\mathrm{80000}}{\mathrm{3600}}=\mathrm{22}.\mathrm{2}\boldsymbol{\mathrm{m}}/\boldsymbol{\mathrm{s}} \\…
Question Number 177055 by ajfour last updated on 30/Sep/22 Commented by ajfour last updated on 30/Sep/22 $${Our}\:{boy}\:{throws}\:{a}\:{ball}\:{with}\:{speed}\:{u} \\ $$$${and}\:{starts}\:{climbing}\:{down}\:{at}\:{same} \\ $$$${speed}\:{u}\:{and}\:{runs}\:{forward}\:{to}\: \\ $$$${catch}\:{the}\:{ball},\:{and}\:{does}\:{so}\:{success} \\ $$$$-{fully}.\:{Find}\:\theta\:{in}\:{terms}\:{of}\:{u},{g},{h}.…