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Category: Mechanics

Question-47422

Question Number 47422 by ajfour last updated on 09/Nov/18 Commented by ajfour last updated on 09/Nov/18 $${A}\:{vertical}\:{ellipsoid}\:{shell}\:{of} \\ $$$${frictionless}\:{surface}\:{holds}\:{a} \\ $$$${flexible}\:{rope}\:{ring}\:{of}\:{mass}\:{m}, \\ $$$${radius}\:{R}.\:{Find}\:{the}\:{tension}\:{in}\: \\ $$$${the}\:{rope}.…

On-the-moon-the-acceleration-of-free-fall-is-only-about-1-6ms-2-About-how-long-should-a-boy-be-able-to-throw-a-ball-there-if-he-can-throw-it-10m-high-on-earth-g-10ms-2-

Question Number 47344 by Necxx last updated on 08/Nov/18 $${On}\:{the}\:{moon}\:{the}\:{acceleration}\:{of} \\ $$$${free}\:{fall}\:{is}\:{only}\:{about}\:\mathrm{1}.\mathrm{6}{ms}^{−\mathrm{2}} . \\ $$$${About}\:{how}\:{long}\:{should}\:{a}\:{boy}\:{be} \\ $$$${able}\:{to}\:{throw}\:{a}\:{ball}\:{there}\:{if}\:{he}\:{can} \\ $$$${throw}\:{it}\:\mathrm{10}{m}\:{high}\:{on}\:{earth}? \\ $$$$\left({g}=\mathrm{10}{ms}^{−\mathrm{2}} \right) \\ $$ Answered…

An-aircraft-flying-horizontally-100m-above-the-ground-and-at-720km-h-drops-a-bomb-on-a-target-on-the-ground-Determine-the-acute-angle-between-the-vertical-and-the-line-joining-the-aircraft-and-target-

Question Number 47333 by Necxx last updated on 08/Nov/18 $${An}\:{aircraft}\:{flying}\:{horizontally} \\ $$$$\mathrm{100}{m}\:{above}\:{the}\:{ground}\:{and}\:{at}\:\mathrm{720}{km}/{h} \\ $$$${drops}\:{a}\:{bomb}\:{on}\:{a}\:{target}\:{on}\:{the} \\ $$$${ground}.{Determine}\:{the}\:{acute}\:{angle} \\ $$$${between}\:{the}\:{vertical}\:{and}\:{the}\:{line} \\ $$$${joining}\:{the}\:{aircraft}\:{and}\:{target}\:{at} \\ $$$${the}\:{instance}\:{when}\:{the}\:{bomb}\:{is} \\ $$$${released}.\left({g}=\mathrm{10}{ms}^{−\mathrm{2}} \right)…

A-train-which-travels-at-a-uniform-speed-due-to-mechanical-fault-after-traveling-for-an-hour-goes-at-3-5-th-of-the-original-speed-and-reaches-the-destination-2-hours-late-If-the-fault-occured-after-

Question Number 47302 by JDlix last updated on 08/Nov/18 $${A}\:{train}\:{which}\:{travels}\:{at}\:{a}\:{uniform}\:{speed}\:{due}\:{to}\:{mechanical}\: \\ $$$${fault}\:{after}\:{traveling}\:{for}\:{an}\:{hour}\:{goes}\:{at}\:\mathrm{3}/\mathrm{5}\:{th}\:{of}\:{the}\:{original}\: \\ $$$${speed}\:{and}\:{reaches}\:{the}\:{destination}\:\mathrm{2}\:{hours}\:{late}.{If}\:{the}\:{fault} \\ $$$${occured}\:{after}\:{traveling}\:{another}\:\mathrm{50}\:{miles}\:{the}\:{train}\:{would}\:{have} \\ $$$${reached}\:\mathrm{40}\:{minutes}\:{earlier}.\:{What}\:{is}\:{the}\:{distance}\:{between}\:{the}\: \\ $$$${two}\:{stations}\:? \\ $$ Answered by math1967…

Pls-can-Q47194-be-solved-by-using-the-cosine-rule-If-possible-please-show-me-with-the-required-diagram-Thanks-in-advance-

Question Number 47289 by Necxx last updated on 07/Nov/18 $${Pls}\:{can}\:{Q}\mathrm{47194}\:{be}\:{solved}\:{by}\:{using} \\ $$$${the}\:{cosine}\:{rule}?{If}\:{possible}\:{please} \\ $$$${show}\:{me}\:{with}\:{the}\:{required}\:{diagram}. \\ $$$${Thanks}\:{in}\:{advance}. \\ $$ Commented by Necxx last updated on 08/Nov/18…

A-stone-tied-to-a-string-is-made-to-resolve-in-a-horizontal-circle-of-radius-4m-with-another-speed-of-2rads-1-With-what-tangential-velocity-will-the-stone-be-off-the-circle-if-the-string-cuts-

Question Number 47283 by Necxx last updated on 07/Nov/18 $${A}\:{stone}\:{tied}\:{to}\:{a}\:{string}\:{is}\:{made}\:{to} \\ $$$${resolve}\:{in}\:{a}\:{horizontal}\:{circle}\:{of} \\ $$$${radius}\:\mathrm{4}{m}\:{with}\:{another}\:{speed}\:{of} \\ $$$$\mathrm{2}{rads}^{−\mathrm{1}} .{With}\:{what}\:{tangential} \\ $$$${velocity}\:{will}\:{the}\:{stone}\:{be}\:{off}\:{the} \\ $$$${circle}\:{if}\:{the}\:{string}\:{cuts}? \\ $$ Commented by…

The-velocity-of-a-ship-Q-relqtive-to-a-ship-P-is-10km-h-in-a-direction-N45-E-If-the-velocity-of-P-is-20km-h-in-a-direction-N60-W-Find-the-actual-velocity-of-Q-in-magnitude-and-direction-

Question Number 47194 by Necxx last updated on 06/Nov/18 $${The}\:{velocity}\:{of}\:{a}\:{ship}\:{Q}\:{relqtive}\:{to} \\ $$$${a}\:{ship}\:{P}\:\:{is}\:\mathrm{10}{km}/{h}\:{in}\:{a}\:{direction} \\ $$$${N}\mathrm{45}^{.} {E}.{If}\:{the}\:{velocity}\:{of}\:{P}\:\:{is}\:\mathrm{20}{km}/{h} \\ $$$${in}\:{a}\:{direction}\:{N}\mathrm{60}^{.} {W}.{Find}\:{the} \\ $$$${actual}\:{velocity}\:{of}\:{Q}\:{in}\:{magnitude} \\ $$$${and}\:{direction}. \\ $$ Commented…

verify-stoke-theorem-for-f-y-2-j-x-3-j-where-s-is-the-sircular-disc-x-2-y-2-1-z-0-

Question Number 47188 by 23kpratik last updated on 06/Nov/18 $${verify}\:{stoke}\:{theorem}\:{for}\:{f}={y}^{\mathrm{2}} {j}+{x}^{\mathrm{3}} {j}\:{where}\:“{s}''\:{is}\:{the}\:{sircular}\:{disc}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant\mathrm{1},{z}=\mathrm{0} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 06/Nov/18 $$\int\int\left(\overset{\rightarrow} {\bigtriangledown}×\overset{\rightarrow}…