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Category: Mechanics

Question-186046

Question Number 186046 by ajfour last updated on 31/Jan/23 Commented by ajfour last updated on 31/Jan/23 $${A}\:{fixed}\:{spherical}\:{crucible}\:{holds} \\ $$$${two}\:{solid}\:{balls}\:{of}\:{radii}\:{a}\:{and}\:{b} \\ $$$${while}\:{they}\:{have}\:{the}\:{same}\:{density}\:\rho. \\ $$$${Find}\:{theNormal}\:{Reaction}\:{between} \\ $$$${the}\:{balls}.…

Question-54841

Question Number 54841 by peter frank last updated on 12/Feb/19 Answered by mr W last updated on 12/Feb/19 $$\mathrm{50}{g}−{T}=\mathrm{50}{a}\:\:\:…\left({i}\right) \\ $$$${T}−\mathrm{20}{g}=\mathrm{20}{a}\:\:\:…\left({ii}\right) \\ $$$$\left({i}\right)+\left({ii}\right): \\ $$$$\mathrm{30}{g}=\mathrm{70}{a}…

Question-120237

Question Number 120237 by aurpeyz last updated on 30/Oct/20 Commented by Dwaipayan Shikari last updated on 30/Oct/20 $$\bigtriangleup{P}=\mid{m}.{v}_{\mathrm{1}} −{mv}_{\mathrm{2}} \mid={m}\sqrt{\mathrm{2}{g}}\left(\mathrm{2}+\sqrt{\mathrm{3}}\right) \\ $$$${v}_{\mathrm{1}} =\sqrt{\mathrm{2}{g}.\mathrm{4}} \\ $$$${v}_{\mathrm{2}}…

Question-54462

Question Number 54462 by ajfour last updated on 03/Feb/19 Commented by ajfour last updated on 04/Feb/19 $${Find}\:{necessary}\:\omega_{\mathrm{0}} \:{that}\:{need}\:{be} \\ $$$${given}\:{to}\:{the}\:{sphere}\:{such}\:{that}\:{it} \\ $$$${reaches}\:{the}\:{vertical}\:{wall},\:{rolling}\: \\ $$$${purely}\:{along}\:{the}\:{incline}.\:\:\:\:\: \\…

Question-185490

Question Number 185490 by ajfour last updated on 22/Jan/23 Commented by ajfour last updated on 23/Jan/23 $${If}\:{the}\:{solid}\:{ball}\:{is}\:{released}\:{at} \\ $$$${the}\:{heighest}\:{level}\:{touching}\:{both} \\ $$$${the}\:{touching}\:{fixed}\:{hemispheres}, \\ $$$${and}\:{if}\:{there}\:{be}\:{no}\:{friction}, \\ $$$${find}\:{b}/{a}\:{such}\:{that}\:{the}\:{solid}…

Question-54396

Question Number 54396 by mr W last updated on 03/Feb/19 Commented by mr W last updated on 03/Feb/19 $${block}\:\mathrm{1}\:{with}\:{mass}\:{m}_{\mathrm{1}} \:{moves}\:{with} \\ $$$${velocity}\:{u}\:{towards}\:{block}\:\mathrm{2}\:{with}\:{mass} \\ $$$${m}_{\mathrm{2}} .\:{a}\:{third}\:{block}\:{is}\:{placed}\:{between}\:{them}.…