Category: Mechanics

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} \\…

Question Number 186692 by ajfour last updated on 08/Feb/23 Commented by ajfour last updated on 08/Feb/23 $$\left({i}\right)\:{Find}\:{u},\:{given}\:{the}\:{rest}. \\ $$$$\left({ii}\right)\:{Repeat}\:\left({i}\right)\:\:{if}\:{R}_{\mathrm{1}} ={a}\:,\:{R}_{\mathrm{2}} ={b}. \\ $$ Answered by…

Question Number 186645 by ajfour last updated on 07/Feb/23 Commented by ajfour last updated on 07/Feb/23 $${Walls}\:{are}\:{frictionless}.\:{Balls}\:\left({solid}\right) \\ $$$${have}\:{the}\:{same}\:{density}\:\rho.\:{Find} \\ $$$${minimum}\:{value}\:{of}\:{maximum} \\ $$$${static}\:{friction}\:{coefficient}\:{at}\:{the} \\ $$$${ground}\:{for}\:{the}\:{larger}\:{ball}\:{such}…