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Question-137627

Question Number 137627 by rs4089 last updated on 04/Apr/21 Answered by MrGaster last updated on 16/Feb/25 $$ \\ $$$$\mathrm{Prove}:\frac{{d}}{{dt}}\left[\overset{\rightarrow} {{u}}\frac{{d}\overset{\rightarrow} {{u}}}{{dt}}\right]=\overset{\rightarrow} {{u}}\frac{{d}^{\mathrm{2}} \overset{\rightarrow} {{u}}}{{dt}^{\mathrm{2}} }+\frac{{d}\overset{\rightarrow}…

Question-6553

Question Number 6553 by Rasheed Soomro last updated on 01/Jul/16 Commented by Rasheed Soomro last updated on 01/Jul/16 $$\bullet\mid{AB}\mid={c},\:\mid{BC}\mid={a},\:\mid{CA}\mid={b} \\ $$$$\bullet\overset{\leftrightarrow} {{AE}}\:,\:\overset{\leftrightarrow} {{BF}}\:,\:\overset{\leftrightarrow} {{CD}}\:\:{are}\:\boldsymbol{{angular}}\:\boldsymbol{{bisectors}} \\…

A-table-with-three-legs-sits-smoothly-on-every-kind-of-surface-whereas-a-table-with-four-legs-may-not-sit-on-rough-surface-Why-

Question Number 6549 by Rasheed Soomro last updated on 01/Jul/16 $${A}\:{table}\:{with}\:{three}\:{legs}\:{sits}\:{smoothly} \\ $$$${on}\:{every}\:{kind}\:{of}\:{surface},\:{whereas}\:{a} \\ $$$${table}\:{with}\:{four}\:{legs}\:{may}\:{not}\:{sit}\:{on} \\ $$$${rough}\:{surface}.\:{Why}? \\ $$ Terms of Service Privacy Policy Contact:…

Two-particles-of-mass-m-and-4m-are-connected-by-a-light-inelastic-string-of-length-3a-which-passes-through-a-small-smooth-fixed-ring-The-heavier-particle-hangs-at-rest-at-a-distance-2a-beneath-the-r

Question Number 137613 by physicstutes last updated on 04/Apr/21 $$\mathrm{Two}\:\mathrm{particles}\:\mathrm{of}\:\mathrm{mass}\:{m}\:\mathrm{and}\:\mathrm{4}{m}\:\mathrm{are}\:\mathrm{connected}\:\mathrm{by}\:\mathrm{a}\:\mathrm{light}\:\mathrm{inelastic} \\ $$$$\mathrm{string}\:\mathrm{of}\:\mathrm{length}\:\mathrm{3}{a},\:\mathrm{which}\:\mathrm{passes}\:\mathrm{through}\:\mathrm{a}\:\mathrm{small}\:\mathrm{smooth}\:\mathrm{fixed}\:\mathrm{ring}. \\ $$$$\mathrm{The}\:\mathrm{heavier}\:\mathrm{particle}\:\mathrm{hangs}\:\mathrm{at}\:\mathrm{rest}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{2}{a}\:\mathrm{beneath}\:\mathrm{the}\:\mathrm{ring}, \\ $$$$\mathrm{while}\:\mathrm{the}\:\mathrm{lighter}\:\mathrm{particle}\:\mathrm{describes}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{circle}\:\mathrm{with}\:\mathrm{constant} \\ $$$$\mathrm{speed}. \\ $$$$\:\mathrm{Find} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{The}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{below}\:\mathrm{the}\:\mathrm{ring}. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{angular}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{lighter}\:\mathrm{particle}. \\…