Category: Vector

Question Number 120258 by bramlexs22 last updated on 30/Oct/20 Answered by TANMAY PANACEA last updated on 30/Oct/20 $$\overrightarrow{p}=pcosai+psinaj$$$$\overrightarrow{q}=qcosbi-qsinbj$$$$\overset{\rightarrow} {{p}}.\overset{\rightarrow}…

Question Number 54578 by pieroo last updated on 07/Feb/19 $$\mathrm{A}\mathrm{particle}\mathrm{of}\mathrm{mass}1.5\mathrm{kg}\mathrm{rests}\mathrm{on}\mathrm{a}\mathrm{rough}$$$$\mathrm{plane}\mathrm{inclined}\mathrm{at}45°\mathrm{to}\mathrm{the}\mathrm{horizontal}.$$$$\mathrm{It}\mathrm{is}\mathrm{maintained}\mathrm{in}\mathrm{equilibrium}\mathrm{by}\mathrm{a}$$$$\mathrm{horizontal}\mathrm{force}\mathrm{of}p\mathrm{newtons}.\mathrm{Given}$$$$\mathrm{that}\mathrm{the}\mathrm{coefficient}\mathrm{of}\mathrm{friction}\mathrm{between}$$$$\mathrm{the}\mathrm{particle}\mathrm{and}\mathrm{the}\mathrm{plane}\mathrm{is}\frac{1}{4},\mathrm{calculate}$$$$\mathrm{the}\mathrm{value}\mathrm{of}p\mathrm{when}\mathrm{the}\mathrm{particle}\mathrm{is}\mathrm{on}$$$$\mathrm{the}\:\mathrm{point}\:\mathrm{of}\:\mathrm{moving} \…

Question Number 54061 by behi83417@gmail.com last updated on 28/Jan/19 Commented by mr W last updated on 29/Jan/19 $$C(t,\frac{1}{t})$$$$D(\frac{1}{t},t)$$$$CD=\sqrt{2}(t-\frac{1}{t})=2$$$${t}^{\mathrm{2}} −\sqrt{\mathrm{2}}{t}−\mathrm{1}=\mathrm{0}…

Question Number 53450 by ajfour last updated on 22/Jan/19 Commented by ajfour last updated on 22/Jan/19 $$Findradiusofinscribedspherein$$$$box.$$ Answered by ajfour last…

Question Number 53025 by ajfour last updated on 16/Jan/19 Commented by ajfour last updated on 16/Jan/19 $$Findminimumdistanceofline$$$$ABfromcylinderaxis.$$$$(correction:theshownsegment$$$$withwhichABmakes\mathrm{\angle }\alpha should$$$$\left.\:{end}\:{in}\:{foot}\:{of}\:{vertical}\:{from}\:{A}.\right)…