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Category: Mechanics

Question-47906

Question Number 47906 by ajfour last updated on 16/Nov/18 Commented by ajfour last updated on 18/Nov/18 $${If}\:{a}\:{solid}\:{cylinder}\:{released}\:{at} \\ $$$${top}\:{end}\:{of}\:{a}\:{plank}\:{that}\:{is}\:{free} \\ $$$${to}\:{turn}\:{about}\:{the}\:{bottom}\:{hinge} \\ $$$${at}\:{ground},\:{find}\:{linear}\:{velocity} \\ $$$${of}\:{cylinder}\:{and}\:{angular}\:{velocity}…

A-body-ascends-a-slope-with-a-speed-of-10m-s-If-105J-of-energy-of-the-body-is-lost-due-to-friction-then-the-height-to-which-the-body-will-rise-is-a-0-5m-b-4-5m-c-3-5m-d-2-0m-

Question Number 47848 by Necxx last updated on 15/Nov/18 $${A}\:{body}\:{ascends}\:{a}\:{slope}\:{with}\:{a} \\ $$$${speed}\:{of}\:\mathrm{10}{m}/{s}.{If}\:\mathrm{105}{J}\:{of}\:{energy} \\ $$$${of}\:{the}\:{body}\:{is}\:{lost}\:{due}\:{to}\:{friction}\: \\ $$$${then}\:{the}\:{height}\:{to}\:{which}\:{the}\:{body} \\ $$$${will}\:{rise}\:{is} \\ $$$$\left.{a}\left.\right)\left.\mathrm{0}\left..\mathrm{5}{m}\:\:\:{b}\right)\mathrm{4}.\mathrm{5}{m}\:\:\:{c}\right)\mathrm{3}.\mathrm{5}{m}\:\:\:{d}\right)\mathrm{2}.\mathrm{0}{m} \\ $$ Commented by Necxx…

A-boy-runs-towards-a-man-standing-150m-away-Speed-of-boy-is-5m-s-and-that-of-man-is-10m-s-The-time-and-distance-of-their-meeting-from-the-boy-s-position-are-a-15s-b-5s-and-150m-c-10s-and-50m-d-10s-a

Question Number 47814 by Necxx last updated on 15/Nov/18 $${A}\:{boy}\:{runs}\:{towards}\:{a}\:{man}\:{standing} \\ $$$$\mathrm{150}{m}\:{away}.{Speed}\:{of}\:{boy}\:{is}\:\mathrm{5}{m}/{s} \\ $$$${and}\:{that}\:{of}\:{man}\:{is}\:\mathrm{10}{m}/{s}.{The} \\ $$$${time}\:{and}\:{distance}\:{of}\:{their}\:{meeting} \\ $$$${from}\:{the}\:{boy}^{.} {s}\:{position}\:{are} \\ $$$$\left.{a}\left.\right)\left.\mathrm{15}{s}\:{b}\right)\mathrm{5}{s}\:{and}\:\mathrm{150}{m}\:{c}\right)\mathrm{10}{s}\:{and}\:\mathrm{50}{m} \\ $$$$\left.{d}\right)\mathrm{10}{s}\:{and}\:\mathrm{100}{m} \\ $$…

A-mobike-rider-moving-from-A-to-B-with-speed-20km-h-notices-that-a-bus-goes-past-it-every-21-minute-in-the-direction-of-his-motion-and-every-7-minutes-in-the-opposite-direction-Velocity-of-the-bus-is-

Question Number 47810 by Necxx last updated on 15/Nov/18 $${A}\:{mobike}\:{rider}\:{moving}\:{from}\:{A}\:{to}\:{B} \\ $$$${with}\:{speed}\:\mathrm{20}{km}/{h}\:{notices}\:{that}\:{a} \\ $$$${bus}\:{goes}\:{past}\:{it}\:{every}\:\mathrm{21}\:{minute}\:{in} \\ $$$${the}\:{direction}\:{of}\:{his}\:{motion}\:{and} \\ $$$${every}\:\mathrm{7}\:{minutes}\:{in}\:{the}\:{opposite} \\ $$$${direction}.{Velocity}\:{of}\:{the}\:{bus}\:{is} \\ $$$$\left.{a}\left.\right)\left.\mathrm{25}{km}/{h}\:{b}\right)\mathrm{35}{km}/{h}\:{c}\right)\mathrm{30}{km}/{h} \\ $$$$\left.{d}\right)\mathrm{40}{km}/{h} \\…

Question-178746

Question Number 178746 by Acem last updated on 21/Oct/22 Answered by mr W last updated on 21/Oct/22 $${s}={total}\:{length}\:{of}\:{chain}=\mathrm{3}{L}=\mathrm{3}\:{m} \\ $$$$\frac{\mathrm{2}{mg}}{\mathrm{3}}×\frac{{s}}{\mathrm{3}}−\frac{{mg}}{\mathrm{3}}×\frac{{s}}{\mathrm{6}}=\frac{{mv}^{\mathrm{2}} }{\mathrm{2}} \\ $$$$\Rightarrow{v}=\sqrt{\frac{{gs}}{\mathrm{3}}}=\sqrt{{g}}\:{m}/{s} \\ $$…