Question Number 48285 by ajfour last updated on 21/Nov/18 Commented by ajfour last updated on 21/Nov/18 $${Find}\:{maximum}\:\theta\:\left(<\:\pi/\mathrm{2}\right)\:{when} \\ $$$${equilibrium}\:{prevails}\:{too}. \\ $$ Commented by ajfour last…
Question Number 48268 by ajfour last updated on 21/Nov/18 Commented by ajfour last updated on 21/Nov/18 $${Find}\:{length}\:{of}\:{both}\:{segments} \\ $$$${of}\:{string}\:{AP}\:=\:{L}_{\mathrm{1}} \:{and}\:{BP}\:={L}_{\mathrm{2}} , \\ $$$${and}\:{the}\:{tension}\:{in}\:{string}\:{if} \\ $$$${rod}\:{of}\:{length}\:\boldsymbol{{l}},\:{mass}\:\boldsymbol{{m}}\:{hangs}…
Question Number 113747 by faysal last updated on 15/Sep/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}^{−\mathrm{1}} {x}}{{x}} \\ $$ Answered by bemath last updated on 15/Sep/20 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{d}\left(\mathrm{sin}^{−\mathrm{1}} {x}\right)}{{dx}}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}}…
Question Number 48194 by Necxx last updated on 20/Nov/18 $${A}\:{body}\:{of}\:{mass}\:\mathrm{0}.\mathrm{1}{kg}\:{dropped}\:{from} \\ $$$${a}\:{height}\:{of}\:\mathrm{8}{m}\:{onto}\:{a}\:{hard}\:{floor} \\ $$$${bounces}\:{back}\:{to}\:{a}\:{height}\:{of}\:\mathrm{2}{m}. \\ $$$${Calculate}\:{the}\:{change}\:{of}\:{momentum}. \\ $$$${If}\:{the}\:{body}\:{is}\:{in}\:{contact}\:{with}\:{the} \\ $$$${floor}\:{for}\:\mathrm{0}.\mathrm{1}{s}\:{then}\:{what}\:{is}\:{the} \\ $$$${force}\:{exerted}\:{on}\:{the}\:{body}? \\ $$$$\left[{g}=\mathrm{10}{ms}^{−\mathrm{2}} \right]…
Question Number 48187 by Rio Michael last updated on 20/Nov/18 $$\mathrm{The}\:\mathrm{data}\:\mathrm{arranged}\:\mathrm{below}\:\mathrm{in}\:\mathrm{the}\:\mathrm{form}\:\mathrm{of}\:\mathrm{a}\:\mathrm{table}\:\mathrm{was}\:\mathrm{obtained} \\ $$$$\mathrm{for}\:\mathrm{a}\:\mathrm{motor}\:\mathrm{cyclist}\:\mathrm{of}\:\mathrm{total}\:\mathrm{mass}\:\mathrm{120}{kg}\:{traveling}\:{from}\: \\ $$$${Sun}\:{city}\:{towards}\:{Delta}\:{state}. \\ $$$$ \\ $$$${velocity}/{ms}^{−\mathrm{1}} \:\:\mathrm{00}\:\:\:\:\:\mathrm{20}\:\:\:\:\:\mathrm{40}\:\:\:\mathrm{50}\:\:\:\:\:\mathrm{50}\:\:\:\:\mathrm{60}\:\:\:\mathrm{70}\:\:\:\:\mathrm{85} \\ $$$$\:\:\:\:\:{time},{t}/{s}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{00}\:\:\:\:\:\mathrm{5}\:\:\:\:\:\:\:\mathrm{10}\:\:\:\:\mathrm{12}\:\:\:\:\:\mathrm{20}\:\:\:\mathrm{35}\:\:\:\:\mathrm{40}\:\:\:\:\mathrm{45} \\ $$$$\left.{i}\right)\:{plot}\:{a}\:{graph}\:{of}\:{velocity}\left({y}−{axis}\right)\:{against}\:{time}\left({x}−{axis}\right) \\…
Question Number 113657 by Ar Brandon last updated on 14/Sep/20 $$\mathrm{Two}\:\mathrm{guns}\:\mathrm{situated}\:\mathrm{at}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{a}\:\mathrm{hill}\:\mathrm{of}\:\mathrm{height}\:\mathrm{10m},\:\mathrm{fire}\:\mathrm{one}\:\mathrm{shot}\:\mathrm{each}\:\mathrm{with} \\ $$$$\mathrm{the}\:\mathrm{same}\:\mathrm{speed}\:\mathrm{5}\sqrt{\mathrm{3}}\mathrm{ms}^{−\mathrm{1}} \:\mathrm{at}\:\mathrm{some}\:\mathrm{interval}\:\mathrm{of}\:\mathrm{time}.\:\mathrm{One}\:\mathrm{gun}\:\mathrm{fires}\:\mathrm{horizontally} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{other}\:\mathrm{fires}\:\mathrm{upwards}\:\mathrm{at}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{60}°\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}.\:\mathrm{The}\:\mathrm{shots} \\ $$$$\mathrm{collide}\:\mathrm{in}\:\mathrm{air}\:\mathrm{at}\:\mathrm{a}\:\mathrm{point}\:\mathrm{P}.\:\mathrm{Find}\:\left(\mathrm{i}\right)\:\mathrm{the}\:\mathrm{time}\:\mathrm{interval}\:\mathrm{between}\:\mathrm{the}\:\mathrm{firings}\:\mathrm{and} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{the}\:\mathrm{coordinates}\:\mathrm{of}\:\mathrm{the}\:\mathrm{hill}\:\mathrm{right}\:\mathrm{below}\:\mathrm{the}\:\mathrm{muzzle}\:\mathrm{and}\:\mathrm{trajectories}\:\mathrm{in}\:\mathrm{x}-\mathrm{y} \\ $$$$\mathrm{plane}. \\ $$ Commented…
Question Number 48050 by ajfour last updated on 18/Nov/18 Commented by ajfour last updated on 18/Nov/18 $${Find}\:{acceleration}\:{of}\:{sphere}\:{and} \\ $$$${angular}\:{velocity}\:{of}\:{plank}\:{as}\:{a} \\ $$$${function}\:{of}\:{a}\:{subsequent}\:{angle}\:\theta. \\ $$$${Assume}\:{all}\:{surfaces}\:{frictionless} \\ $$$${and}\:{figure}\:{depicts}\:{the}\:{initial}…
Question Number 47979 by peter frank last updated on 17/Nov/18 Commented by peter frank last updated on 17/Nov/18 $$\mathrm{plse}\:\mathrm{help} \\ $$ Commented by mr W…
Question Number 47957 by ajfour last updated on 17/Nov/18 Commented by ajfour last updated on 17/Nov/18 $${If}\:{the}\:{stick}\:{is}\:{on}\:{the}\:{verge}\:{of} \\ $$$${slipping}\:{on}\:{ground},\:{in}\:{the} \\ $$$${situation}\:{shown},\:{find}\:\boldsymbol{\theta},\:\boldsymbol{\varphi},\:\boldsymbol{{N}},\:\boldsymbol{{T}}. \\ $$ Commented by…
Question Number 47938 by ajfour last updated on 17/Nov/18 Commented by ajfour last updated on 18/Nov/18 $${Q}.\mathrm{47906}\:\:\:\left({Diagram}\:{help}\:\right)\:\:\: \\ $$ Terms of Service Privacy Policy Contact:…