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Category: Mechanics

A-particle-is-projected-with-velocity-2-gh-so-that-it-just-clears-two-walls-of-equal-heigh-h-in-the-t-1-and-t-2-respectively-The-two-walls-are-at-a-distance-of-2h-from-each-other-If-t

Question Number 154549 by peter frank last updated on 19/Sep/21 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{projected}\:\:\mathrm{with}\:\mathrm{velocity} \\ $$$$\mathrm{2}\sqrt{\mathrm{gh}}\:\:\:\mathrm{so}\:\mathrm{that}\:\:\mathrm{it}\:\mathrm{just}\:\mathrm{clears}\:\mathrm{two} \\ $$$$\mathrm{walls}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{heigh}\left(\mathrm{h}\right)\:\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{t}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{t}_{\mathrm{2}\:} \:\mathrm{respectively}.\mathrm{The}\:\mathrm{two} \\ $$$$\mathrm{walls}\:\mathrm{are}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\:\mathrm{2h}\:\:\mathrm{from} \\ $$$$\mathrm{each}\:\mathrm{other}.\mathrm{If}\:\mathrm{time}\:\mathrm{passing}\: \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{two}\:\mathrm{walls}\:\mathrm{is}\:\mathrm{2}\sqrt{\frac{\mathrm{h}}{\mathrm{g}}}…

A-particle-is-projected-inside-the-tunnel-which-is-4m-high-if-the-initial-speed-is-V-o-show-that-the-maximum-range-inside-the-tunnel-is-given-by-R-4-2-V-o-2-g-8-

Question Number 154547 by peter frank last updated on 19/Sep/21 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{inside}\:\mathrm{the}\:\mathrm{tunnel} \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{4m}\:\mathrm{high}.\mathrm{if}\:\:\mathrm{the}\:\mathrm{initial}\:\mathrm{speed} \\ $$$$\mathrm{is}\:\mathrm{V}_{\mathrm{o}} .\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{range}\:\mathrm{inside}\:\mathrm{the}\:\mathrm{tunnel}\:\mathrm{is}\:\mathrm{given} \\ $$$$\mathrm{by}\:\:\:\:\:\:\mathrm{R}=\mathrm{4}\sqrt{\mathrm{2}}\:\sqrt{\frac{\mathrm{V}_{\mathrm{o}} ^{\mathrm{2}} }{\mathrm{g}}−\mathrm{8}} \\ $$ Answered…

Question-88967

Question Number 88967 by ajfour last updated on 14/Apr/20 Commented by ajfour last updated on 14/Apr/20 $${A}\:{stick}\:{of}\:{length}\:\mathrm{2}{r}\:{slides}\: \\ $$$${against}\:{a}\:{fixed}\:{smooth}\:{cylindrical} \\ $$$${surface}.\:{It}\:{is}\:{released}\:{with}\:{one} \\ $$$${at}\:{A}\:\left({in}\:{tangential}\:{manner}\right), \\ $$$${and}\:{loses}\:{contact}\:{thereafter}\:{at}…

How-far-can-a-cyclist-travel-in-4-h-if-his-average-speed-is-11-5-km-h-

Question Number 88963 by Zainal Arifin last updated on 14/Apr/20 $$\mathrm{How}\:\mathrm{far}\:\mathrm{can}\:\mathrm{a}\:\mathrm{cyclist}\:\mathrm{travel}\:\mathrm{in}\:\mathrm{4}\:\mathrm{h} \\ $$$$\mathrm{if}\:\mathrm{his}\:\mathrm{average}\:\mathrm{speed}\:\mathrm{is}\:\mathrm{11}.\mathrm{5}\:\mathrm{km}/\mathrm{h}\:? \\ $$ Commented by MJS last updated on 14/Apr/20 $$\mathrm{seriously}? \\ $$$$…\mathrm{ok}:…

One-care-travels-due-east-at-40-km-h-and-second-car-travels-north-at-40-km-h-are-their-velocities-equal-

Question Number 88961 by Zainal Arifin last updated on 14/Apr/20 $$\mathrm{One}\:\mathrm{care}\:\mathrm{travels}\:\mathrm{due}\:\mathrm{east}\:\mathrm{at}\:\mathrm{40}\:\mathrm{km}/\mathrm{h}. \\ $$$$\mathrm{and}\:\mathrm{second}\:\mathrm{car}\:\mathrm{travels}\:\mathrm{north}\:\mathrm{at}\: \\ $$$$\mathrm{40}\:\mathrm{km}/\mathrm{h}.\:\mathrm{are}\:\mathrm{their}\:\mathrm{velocities}\:\mathrm{equal}? \\ $$ Commented by ajfour last updated on 14/Apr/20 $${No},\:{since}\:{directions}\:{are}\:{not}\:{same}.…

Question-154465

Question Number 154465 by Eric002 last updated on 18/Sep/21 Commented by Eric002 last updated on 18/Sep/21 $${a}\:{circle}\:{rolls}\:{inside}\:{a}\:{prabola}.{does}\:{the} \\ $$$${center}\:{of}\:{that}\:{circle}\:{also}\:{trace}\:{a}\:{prabola}? \\ $$$${fond}\:{its}\:{equation} \\ $$$$ \\ $$…

Question-88027

Question Number 88027 by ajfour last updated on 07/Apr/20 Commented by ajfour last updated on 07/Apr/20 $${If}\:{released}\:{as}\:{shown},\:{end}\:{A} \\ $$$${of}\:{rod}\:{shall}\:{hit}\:{the}\:{smooth} \\ $$$${horizontal}\:{at}\:{what}\:{distance} \\ $$$${from}\:{corner}\:{C}.\:{Assume}\:{M}\:{is} \\ $$$${sufficiently}\:{greater}\:{than}\:{m}.…