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Category: Mechanics

Question-158874

Question Number 158874 by ajfour last updated on 09/Nov/21 Commented by ajfour last updated on 09/Nov/21 $${Length}\:{of}\:{rope}\:{is}\:{L},\:{mass}\:{m}. \\ $$$${The}\:{pulley}\:{even}\:{has}\:{mass}\:{m} \\ $$$${and}\:{radius}\:{is}\:{r}.\:{The}\:{bead}\:{has} \\ $$$${mass}\:{m}.\:{After}\:{release}\:{at}\:{t}=\mathrm{0}, \\ $$$${find}\:{v}\left({x}\right);\:{v}\:{being}\:{the}\:{speed}\:{of}…

An-object-has-a-constant-acceleration-a-4ms-2-Its-velocity-is-1m-s-at-t-0-when-it-is-at-x-7m-How-fast-is-it-at-x-8m-At-what-time-is-this-

Question Number 27435 by NECx last updated on 06/Jan/18 $${An}\:{object}\:{has}\:{a}\:{constant} \\ $$$${acceleration}\:{a}=\mathrm{4}{ms}^{−\mathrm{2}} .{Its}\:{velocity} \\ $$$${is}\:\mathrm{1}{m}/{s}\:{at}\:{t}=\mathrm{0},{when}\:{it}\:{is}\:{at}\:{x}=\mathrm{7}{m}. \\ $$$${How}\:{fast}\:{is}\:{it}\:{at}\:{x}=\mathrm{8}{m}?{At}\:{what} \\ $$$${time}\:{is}\:{this}? \\ $$ Answered by mrW1 last…

Car-A-is-moving-at-a-speed-of-45km-h-towards-car-B-which-is-moving-towards-car-A-at-a-speed-of-55km-h-If-the-two-cars-where-initially-seperated-at-a-distance-of-150m-Determine-how-long-it-will-take

Question Number 27436 by NECx last updated on 06/Jan/18 $${Car}\:{A}\:{is}\:{moving}\:{at}\:{a}\:{speed}\:{of}\: \\ $$$$\mathrm{45}{km}/{h}\:{towards}\:{car}\:{B}\:{which}\:{is} \\ $$$${moving}\:{towards}\:{car}\:{A}\:{at}\:{a}\:{speed}\: \\ $$$${of}\:\mathrm{55}{km}/{h}.{If}\:{the}\:{two}\:{cars}\:{where} \\ $$$${initially}\:{seperated}\:{at}\:{a}\:{distance} \\ $$$${of}\:\mathrm{150}{m}.{Determine}\:{how}\:{long}\:{it}\: \\ $$$${will}\:{take}\:{the}\:{two}\:{cars}\:{to}\:{meet}. \\ $$ Commented…

Question-27429

Question Number 27429 by Tinkutara last updated on 06/Jan/18 Answered by mrW1 last updated on 07/Jan/18 $${let}'{s}\:{see}\:{point}\:\mathrm{2}\:{as}\:{example}, \\ $$$$\frac{{v}_{\mathrm{2}} \:\mathrm{cos}\:\theta_{\mathrm{2}} }{{v}_{\mathrm{1}} \:\mathrm{cos}\:\theta_{\mathrm{1}} }={e} \\ $$$$\Rightarrow\:{v}_{\mathrm{2}}…

Question-27303

Question Number 27303 by Tinkutara last updated on 04/Jan/18 Answered by mrW1 last updated on 05/Jan/18 $${a}={a}_{//} =\frac{{g}}{\mathrm{2}}\:\left({given}\right) \\ $$$${a}_{\bot} ={a}\:\mathrm{sin}\:\theta=\frac{{g}\:\mathrm{sin}\:\theta}{\mathrm{2}} \\ $$$${mg}\:\mathrm{cos}\:\theta−{N}={ma}_{\bot} =\frac{{mg}\:\mathrm{sin}\:\theta}{\mathrm{2}} \\…

Question-27202

Question Number 27202 by Tinkutara last updated on 03/Jan/18 Answered by mrW1 last updated on 03/Jan/18 $${N}={normal}\:{force}\:{between}\:{m}\:{and}\:{M} \\ $$$${T}={tension}\:{in}\:{thread} \\ $$$${N}={mg}\:\mathrm{cos}\:\theta \\ $$$${T}={N}\:\mathrm{sin}\:\theta={mg}\:\mathrm{sin}\:\theta\:\mathrm{cos}\:\theta=\mathrm{3}×\mathrm{10}×\frac{\mathrm{1}}{\mathrm{2}}=\mathrm{15}\:{N} \\ $$…