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Question Number 120237 by aurpeyz last updated on 30/Oct/20 Commented by Dwaipayan Shikari last updated on 30/Oct/20 $$\bigtriangleup{P}=\mid{m}.{v}_{\mathrm{1}} −{mv}_{\mathrm{2}} \mid={m}\sqrt{\mathrm{2}{g}}\left(\mathrm{2}+\sqrt{\mathrm{3}}\right) \\ $$$${v}_{\mathrm{1}} =\sqrt{\mathrm{2}{g}.\mathrm{4}} \\ $$$${v}_{\mathrm{2}}…
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Question Number 54462 by ajfour last updated on 03/Feb/19 Commented by ajfour last updated on 04/Feb/19 $${Find}\:{necessary}\:\omega_{\mathrm{0}} \:{that}\:{need}\:{be} \\ $$$${given}\:{to}\:{the}\:{sphere}\:{such}\:{that}\:{it} \\ $$$${reaches}\:{the}\:{vertical}\:{wall},\:{rolling}\: \\ $$$${purely}\:{along}\:{the}\:{incline}.\:\:\:\:\: \\…
Question Number 185490 by ajfour last updated on 22/Jan/23 Commented by ajfour last updated on 23/Jan/23 $${If}\:{the}\:{solid}\:{ball}\:{is}\:{released}\:{at} \\ $$$${the}\:{heighest}\:{level}\:{touching}\:{both} \\ $$$${the}\:{touching}\:{fixed}\:{hemispheres}, \\ $$$${and}\:{if}\:{there}\:{be}\:{no}\:{friction}, \\ $$$${find}\:{b}/{a}\:{such}\:{that}\:{the}\:{solid}…
Question Number 54413 by rahul 19 last updated on 03/Feb/19 Commented by rahul 19 last updated on 03/Feb/19 Commented by mr W last updated on…
Question Number 54396 by mr W last updated on 03/Feb/19 Commented by mr W last updated on 03/Feb/19 $${block}\:\mathrm{1}\:{with}\:{mass}\:{m}_{\mathrm{1}} \:{moves}\:{with} \\ $$$${velocity}\:{u}\:{towards}\:{block}\:\mathrm{2}\:{with}\:{mass} \\ $$$${m}_{\mathrm{2}} .\:{a}\:{third}\:{block}\:{is}\:{placed}\:{between}\:{them}.…
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Question Number 54360 by ajfour last updated on 02/Feb/19 Commented by ajfour last updated on 02/Feb/19 $${Find}\:{minimum}\:{mass}\:{of}\:{block} \\ $$$${that}\:{should}\:{be}\:{glued}\:{at}\:{the}\:{top}\:{of} \\ $$$${wedge}\:{to}\:{cause}\:{it}\:{to}\:{topple}\:{down}. \\ $$ Answered by…
Question Number 54289 by ajfour last updated on 01/Feb/19 Commented by ajfour last updated on 01/Feb/19 $${Find}\:{u}\:{such}\:{that}\:{upper}\:{block}\:{topples}, \\ $$$${if}\:{particle}\:{of}\:{mass}\:{m}\:{hits}\:{elastically}. \\ $$$$\boldsymbol{{Also}}\:\boldsymbol{{find}}\:\boldsymbol{{where}}\:\boldsymbol{{the}}\:\boldsymbol{{particle}} \\ $$$$\boldsymbol{{hits}}\:\boldsymbol{{the}}\:\boldsymbol{{ground}}. \\ $$…