Category: Mechanics

Question Number 187675 by mr W last updated on 20/Feb/23 Commented by mr W last updated on 20/Feb/23 $${an}\:{uniform}\:{rope}\:{of}\:{length}\:{L}\:{and}\: \\ $$$${mass}\:{M}\:{is}\:{fixed}\:{on}\:{both}\:{ends}\:{at}\:{a} \\ $$$${distance}\:{d}\:{as}\:{shown}.\:{a}\:{small}\:{object} \\ $$$${of}\:{mass}\:{m}\:{moves}\:{very}\:{slowly}\:{along}…

Question Number 56584 by Tinkutara last updated on 18/Mar/19 Answered by tanmay.chaudhury50@gmail.com last updated on 19/Mar/19 $$\Gamma=\frac{{dL}}{{dt}}={A}×{L}\:\left({given}\right) \\ $$$$\frac{{dL}}{{dt}}.\left({A}×{L}\right)=\mathrm{0} \\ $$$${hence}\:\frac{{dL}}{{dt}}\bot\left({A}×{L}\right) \\ $$$$ \\ $$…

Question Number 187640 by ajfour last updated on 19/Feb/23 Commented by ajfour last updated on 19/Feb/23 $${If}\:{the}\:{hemisphere}\:{radius}\:{R}.\:{The} \\ $$$${ball}\:{radius}\:{b}\:{and}\:{mass}\:{m}.\:{Find}\: \\ $$$${Tension}\:{in}\:{string}\:{in}\:{terms}\:{of}\:{mg}, \\ $$$$\theta,\:{b},\:{R}. \\ $$…

Question Number 187364 by ajfour last updated on 16/Feb/23 Commented by ajfour last updated on 16/Feb/23 $${Find}\:{the}\:{time}\:{taken}\:{by}\:{ball}\:{to} \\ $$$${reach}\:{down}\:{the}\:{y}={bx}^{\mathrm{2}} \:\:{valley}. \\ $$$${The}\:\:{height}\:={ba}^{\mathrm{2}} \:\:\:\left(\neq{ab}^{\mathrm{2}} \:\:\overset{\bullet\:\bullet} {\smile}\right)…

Question Number 187216 by ajfour last updated on 14/Feb/23 Commented by mr W last updated on 15/Feb/23 $${till}\:{the}\:{rod}\:{striks}\:{the}\:{ground},\:{the}\:{ball} \\ $$$${moves}\:{upwards}\:{and}\:{the}\:{string}\:{is} \\ $$$${always}\:{under}\:{tension}.\:\:{at}\:{the}\:{moment} \\ $$$${as}\:{the}\:{rod}\:{strikes}\:{the}\:{groud}\:{the}\:{ball} \\…