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Category: Mechanics

Question-108588

Question Number 108588 by ajfour last updated on 17/Aug/20 Commented by ajfour last updated on 21/Aug/20 $${There}\:{is}\:{no}\:{friction}\:{between}\:{block} \\ $$$${and}\:{sphere},\:{but}\:{enough}\:{friction} \\ $$$${between}\:{ground}\:{and}\:{sphere},\:{such} \\ $$$${that}\:{sphere}\:{rolls}\:{as}\:{block}\:{slides} \\ $$$${backwards}.\:{Find}\:{maximum}…

Question-42654

Question Number 42654 by ajfour last updated on 30/Aug/18 Commented by ajfour last updated on 30/Aug/18 $${If}\:{the}\:{red}\:{ball}\:{is}\:{to}\:{hit}\:{the}\:{wall} \\ $$$${and}\:{then}\:{the}\:{blue}\:{ball},\:{find}\:{the} \\ $$$${speed}\:\boldsymbol{{u}}\:{and}\:{height}\:\boldsymbol{{h}}\:{where}\:{it} \\ $$$${hits}\:{the}\:{wall}.\:\left({coefficient}\:{of}\right. \\ $$$$\left.{restitution}\:{being}\:\boldsymbol{{e}}\right).…

A-particle-in-an-electric-and-magnetic-field-is-in-motion-The-time-equations-are-in-polar-coordinates-r-r-0-e-t-b-and-t-b-and-b-are-positive-constants-1-Calculate-the-vector-equation-of-t

Question Number 108042 by Ar Brandon last updated on 14/Aug/20 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{in}\:\mathrm{an}\:\mathrm{electric}\:\mathrm{and}\:\mathrm{magnetic}\:\mathrm{field}\:\mathrm{is}\:\mathrm{in}\:\mathrm{motion}. \\ $$$$\mathrm{The}\:\mathrm{time}\:\mathrm{equations}\:\mathrm{are}\:\mathrm{in}\:\mathrm{polar}\:\mathrm{coordinates}. \\ $$$$\mathrm{r}=\mathrm{r}_{\mathrm{0}} \mathrm{e}^{−\frac{\mathrm{t}}{\mathrm{b}}} \:\mathrm{and}\:\theta=\frac{\mathrm{t}}{\mathrm{b}}\:\mathrm{and}\:\mathrm{b}\:\mathrm{are}\:\mathrm{positive}\:\mathrm{constants}. \\ $$$$\mathrm{1}\backslash\mathrm{Calculate}\:\mathrm{the}\:\mathrm{vector}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{particle}. \\ $$$$\mathrm{2}\backslash\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{angle}\:\left(\mathrm{v}_{\mathrm{1}} ^{'} ,\mathrm{u}_{\mathrm{0}} '\right)\:\mathrm{is}\:\mathrm{constant},\:\mathrm{and}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}. \\…

Which-of-the-following-set-of-horizontal-forces-would-lead-an-object-in-equilibrium-a-5N-10N-20N-b-6N-12N-18N-c-8N-8N-8N-b-2N-4N-8N-16N-

Question Number 107905 by aurpeyz last updated on 13/Aug/20 $$\mathrm{W}{hich}\:{of}\:{the}\:{following}\:{set}\:{of}\:{horizontal} \\ $$$${forces}\:{would}\:{lead}\:{an}\:{object}\:{in}\:{equilibrium}? \\ $$$$\left({a}\right)\:\mathrm{5}{N}\:\:\:\mathrm{10}{N}\:\:\mathrm{20}{N} \\ $$$$\left({b}\right)\:\mathrm{6}{N}\:\:\:\mathrm{12}{N}\:\:\:\:\mathrm{18}{N} \\ $$$$\left({c}\right)\:\mathrm{8}{N}\:\:\:\mathrm{8}{N}\:\:\:\mathrm{8}{N} \\ $$$$\left({b}\right)\:\mathrm{2}{N}\:\:\:\:\mathrm{4}{N}\:\:\:\mathrm{8}{N}\:\:\:\mathrm{16}{N} \\ $$ Commented by aurpeyz…

Question-107711

Question Number 107711 by ajfour last updated on 12/Aug/20 Commented by ajfour last updated on 12/Aug/20 $${If}\:{motion}\:{begins}\:{from}\:{rest}\:{when} \\ $$$${blue}\:{block}\:{is}\:{at}\:{A}\:{and}\:{by}\:{the}\:{time}\:{it} \\ $$$${reaches}\:{B}\:{string}\:{goes}\:{slack},\:{then} \\ $$$${find}\:{length}\:{AB}. \\ $$$$…