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A-uniform-pole-PQ-30-m-long-and-of-mass-4-kg-is-carried-by-a-boy-at-P-and-a-man-8-m-away-from-Q-Find-the-distance-from-P-where-a-mass-of-20-kg-should-be-attached-so-that-the-man-s-support-is-twice-

Question Number 60247 by pete last updated on 19/May/19 $$\mathrm{A}\:\mathrm{uniform}\:\mathrm{pole}\:\mathrm{PQ},\:\mathrm{30}\:\mathrm{m}\:\mathrm{long}\:\mathrm{and}\:\mathrm{of}\:\mathrm{mass} \\ $$$$\mathrm{4}\:\mathrm{kg}\:\mathrm{is}\:\mathrm{carried}\:\mathrm{by}\:\mathrm{a}\:\mathrm{boy}\:\mathrm{at}\:\mathrm{P}\:\mathrm{and}\:\mathrm{a}\:\mathrm{man}\: \\ $$$$\mathrm{8}\:\mathrm{m}\:\mathrm{away}\:\mathrm{from}\:\mathrm{Q}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{from} \\ $$$$\mathrm{P}\:\mathrm{where}\:\mathrm{a}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{20}\:\mathrm{kg}\:\mathrm{should}\:\mathrm{be}\:\mathrm{attached} \\ $$$$\mathrm{so}\:\mathrm{that}\:\mathrm{the}\:\mathrm{man}'\mathrm{s}\:\mathrm{support}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{that} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{boy},\:\mathrm{if}\:\mathrm{the}\:\mathrm{system}\:\mathrm{is}\:\mathrm{in}\:\mathrm{equilibrium} \\ $$$$\left[\mathrm{Take}\:\mathrm{g}=\mathrm{10ms}^{−\mathrm{2}} \right] \\ $$…

C-2-0-L-ln-R-2-R-1-prove-

Question Number 60219 by ANTARES VY last updated on 19/May/19 $$\boldsymbol{\mathrm{C}}=\frac{\mathrm{2}\boldsymbol{\pi\varepsilon\varepsilon}_{\mathrm{0}} \boldsymbol{\mathrm{L}}}{\boldsymbol{\mathrm{ln}}\left(\frac{\boldsymbol{\mathrm{R}}_{\mathrm{2}} }{\boldsymbol{\mathrm{R}}_{\mathrm{1}} }\right)}. \\ $$$$\boldsymbol{\mathrm{prove}}. \\ $$ Commented by ANTARES VY last updated on…

Two-passenger-trains-A-and-B-450km-apart-start-to-move-towards-each-other-at-the-same-time-and-meet-after-2-hours-If-train-B-travels-8-7-as-fast-as-train-A-find-the-speed-of-each-train-

Question Number 60143 by pete last updated on 18/May/19 $$\mathrm{Two}\:\mathrm{passenger}\:\mathrm{trains},\:\mathrm{A}\:\mathrm{and}\:\mathrm{B},\:\mathrm{450km}\:\mathrm{apart}, \\ $$$$\mathrm{start}\:\mathrm{to}\:\mathrm{move}\:\mathrm{towards}\:\mathrm{each}\:\mathrm{other}\:\mathrm{at}\:\mathrm{the} \\ $$$$\mathrm{same}\:\mathrm{time}\:\mathrm{and}\:\mathrm{meet}\:\mathrm{after}\:\mathrm{2}\:\mathrm{hours}.\:\mathrm{If}\:\mathrm{train}\:\mathrm{B}, \\ $$$$\mathrm{travels}\:\frac{\mathrm{8}}{\mathrm{7}}\:\mathrm{as}\:\mathrm{fast}\:\mathrm{as}\:\mathrm{train}\:\mathrm{A},\:\mathrm{find}\:\mathrm{the}\:\mathrm{speed} \\ $$$$\mathrm{of}\:\mathrm{each}\:\mathrm{train}. \\ $$ Answered by tanmay last updated…

Question-60135

Question Number 60135 by Tawa1 last updated on 18/May/19 Answered by tanmay last updated on 18/May/19 $${q}_{\mathrm{1}} =\mathrm{8}.\mathrm{5}×\mathrm{10}^{−\mathrm{6}} {C}\:{at}\:{x}_{\mathrm{1}} =\mathrm{3}.\mathrm{0}×\mathrm{10}^{−\mathrm{2}} {meter} \\ $$$${q}_{\mathrm{2}} =−\mathrm{21}×\mathrm{10}^{−\mathrm{6}} {C}\:{at}\:{x}_{\mathrm{2}}…