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Category: Mechanics

A-body-of-mass-5kg-is-acted-on-by-two-forces-30N-and-40N-Find-the-vector-acceleration-of-the-object-

Question Number 110119 by aurpeyz last updated on 27/Aug/20 $$\mathrm{A}\:\mathrm{body}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{5kg}\:\mathrm{is}\:\mathrm{acted}\:\mathrm{on}\:\mathrm{by}\:\mathrm{two}\:\mathrm{forces}\:\mathrm{30N} \\ $$$$\mathrm{and}\:\mathrm{40N}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{vector}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{the}\:\mathrm{object}? \\ $$ Answered by Rio Michael last updated on 27/Aug/20 $$\:\mathrm{A}\:\mathrm{force}\:\mathrm{is}\:\:\mathrm{vector}\:\mathrm{quantity},\:\mathrm{specificied}\:\mathrm{by}\:\mathrm{its}\:\mathrm{magnitude} \\ $$$$\left(\mathrm{30}\:\mathrm{N}\:\mathrm{and}\:\mathrm{40}\:\mathrm{N}\right)\:\mathrm{and}\:\mathrm{its}\:\mathrm{direction}.\:\mathrm{You}\:\mathrm{havn}'\mathrm{t}\:\mathrm{specified}\:\mathrm{the}…

Find-moment-of-inertia-of-the-area-bounded-by-the-curve-r-2-a-2-cos2-about-its-axis-

Question Number 44526 by arnabmaiti550@gmail.com last updated on 30/Sep/18 $$\mathrm{Find}\:\mathrm{moment}\:\mathrm{of}\:\mathrm{inertia}\:\mathrm{of}\:\mathrm{the}\:\mathrm{area}\:\mathrm{bounded} \\ $$$$\mathrm{by}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{r}^{\mathrm{2}} =\mathrm{a}^{\mathrm{2}} \mathrm{cos2}\theta \\ $$$$\mathrm{about}\:\mathrm{its}\:\mathrm{axis} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 01/Oct/18…

Question-44454

Question Number 44454 by ajfour last updated on 29/Sep/18 Commented by ajfour last updated on 29/Sep/18 $${A}\:{sphere}\:{in}\:{pure}\:{rolling}\:{motion} \\ $$$${on}\:{a}\:{rough}\:{ground},\:{encounters}\:{a}\:{stair}, \\ $$$${collides}\:{completely}\:{inelastically} \\ $$$${with}\:{its}\:{corner}.\:{Just}\:{after}\:{it} \\ $$$${comes}\:{atop}\:{the}\:{stair},\:{find}\:{its}…

Question-109540

Question Number 109540 by ajfour last updated on 24/Aug/20 Commented by ajfour last updated on 24/Aug/20 $${If}\:{upper}\:{rod}\:{starts}\:{turning}\:{when} \\ $$$$\theta=\mathrm{0}\:,\:{find}\:{Normal}\:{reaction}\:{from} \\ $$$${ground}\:{as}\:{a}\:{function}\:{of}\:{angle}\:\theta. \\ $$$${Neglect}\:{friction}. \\ $$…

Question-43945

Question Number 43945 by ajfour last updated on 18/Sep/18 Commented by ajfour last updated on 18/Sep/18 $${The}\:{rectangular}\:{plate}\:{can}\:{swing} \\ $$$${freely}\:{about}\:{the}\:{diagonal}\:{but}\:{is} \\ $$$${at}\:{balance},\:{not}\:{turning}\:{any}\:{more}. \\ $$$$\boldsymbol{{Find}}\:\boldsymbol{{p}},\:\boldsymbol{{h}}\:\boldsymbol{{in}}\:\boldsymbol{{terms}}\:\boldsymbol{{of}}\:\boldsymbol{{a}},\boldsymbol{{b}},\boldsymbol{{d}}. \\ $$…

Question-175000

Question Number 175000 by mr W last updated on 15/Aug/22 Commented by mr W last updated on 16/Aug/22 $${an}\:{uniform}\:{rod}\:{with}\:{length}\:{L}\:{rolls} \\ $$$${over}\:{the}\:{fixed}\:{semicylinder}\:{with}\: \\ $$$${radius}\:{R}. \\ $$$${find}\:{the}\:{period}\:{of}\:{the}\:{oscillation}.…