Question Number 154465 by Eric002 last updated on 18/Sep/21 Commented by Eric002 last updated on 18/Sep/21 $${a}\:{circle}\:{rolls}\:{inside}\:{a}\:{prabola}.{does}\:{the} \\ $$$${center}\:{of}\:{that}\:{circle}\:{also}\:{trace}\:{a}\:{prabola}? \\ $$$${fond}\:{its}\:{equation} \\ $$$$ \\ $$…
Question Number 88623 by ajfour last updated on 11/Apr/20 Commented by ajfour last updated on 11/Apr/20 $${If}\:{the}\:{solid}\:{cylinder}\:{has}\:{to}\:{roll} \\ $$$${on}\:{to}\:{the}\:{inclined}\:{plane}\:{without} \\ $$$${a}\:{jump},\:{find}\:{u}_{{max}} . \\ $$ Commented…
Question Number 88027 by ajfour last updated on 07/Apr/20 Commented by ajfour last updated on 07/Apr/20 $${If}\:{released}\:{as}\:{shown},\:{end}\:{A} \\ $$$${of}\:{rod}\:{shall}\:{hit}\:{the}\:{smooth} \\ $$$${horizontal}\:{at}\:{what}\:{distance} \\ $$$${from}\:{corner}\:{C}.\:{Assume}\:{M}\:{is} \\ $$$${sufficiently}\:{greater}\:{than}\:{m}.…
Question Number 153374 by ajfour last updated on 06/Sep/21 Commented by mr W last updated on 06/Sep/21 $${how}\:{to}\:{understand}: \\ $$$${at}\:{t}=\mathrm{0}:\:{length}\:{of}\:{cylinder}\:{is}\:{h},\:{mass} \\ $$$${is}\:{m},\:{mass}\:{is}\:{uniquely}\:{distributed}\:{over} \\ $$$${length}:\:\rho_{\mathrm{0}} =\frac{{m}}{{h}}.…
Question Number 153041 by nadovic last updated on 04/Sep/21 $$\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{vertically}\:\mathrm{upwards} \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{10}\:{ms}^{−\mathrm{1}} \:\mathrm{from}\:\mathrm{a}\:\mathrm{point} \\ $$$$\mathrm{75}{m}\:\mathrm{above}\:\mathrm{the}\:\mathrm{ground}.\:\mathrm{How}\:\mathrm{long}\:\mathrm{will} \\ $$$$\mathrm{it}\:\mathrm{take}\:\mathrm{the}\:\mathrm{ball}\:\mathrm{to}\:\mathrm{strike}\:\mathrm{the}\:\mathrm{ground}? \\ $$ Answered by mr W last updated…
Question Number 86895 by Rio Michael last updated on 01/Apr/20 $$\mathrm{A}\:\mathrm{small}\:\mathrm{mass}\:\mathrm{rest}\:\mathrm{on}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{plat}\:\mathrm{form}\:\mathrm{which}\:\mathrm{vibrates}\: \\ $$$$\mathrm{vertically}\:\mathrm{in}\:\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{motion}\:\mathrm{with}\:\mathrm{period}\:\mathrm{0}.\mathrm{50s}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{amplitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{which}\:\mathrm{allow}\:\mathrm{which} \\ $$$$\mathrm{allow}\:\mathrm{the}\:\mathrm{mass}\:\mathrm{to}\:\mathrm{remain}\:\mathrm{in}\:\mathrm{contact}\:\mathrm{with}\:\mathrm{the}\:\mathrm{platform}\:\mathrm{throughout} \\ $$$$\mathrm{the}\:\mathrm{motion} \\ $$ Terms of Service Privacy…
Question Number 152388 by ajfour last updated on 28/Aug/21 Commented by ajfour last updated on 28/Aug/21 $${Find}\:{the}\:{maximum}\:{speed}\:{u}, \\ $$$${that}\:{can}\:{be}\:{given}\:{to}\:{the}\:{solid} \\ $$$${ball},\:{so}\:{that}\:{it}\:{goes}\:{through}\:{the} \\ $$$${paraboloid}\:{ditch}\:{y}={x}^{\mathrm{2}} −{b}^{\mathrm{2}} \\…
Question Number 86479 by Rio Michael last updated on 28/Mar/20 $$\mathrm{a}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{droped}\:\mathrm{from}\:\mathrm{a}\:\mathrm{height}\:\mathrm{20}\:\mathrm{m}.\:\mathrm{Given}\:\mathrm{that}\:\mathrm{it} \\ $$$$\mathrm{rebounce}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{that}\:\mathrm{which}\:\mathrm{it}\:\mathrm{hit}\:\mathrm{the}\:\mathrm{ground} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{time}\:\mathrm{interval}\:\mathrm{between}\:\mathrm{the}\:\mathrm{first}\:\mathrm{and}\:\mathrm{second}\:\mathrm{rebounce}. \\ $$ Answered by mr W last updated on 29/Mar/20…
Question Number 86260 by ajfour last updated on 27/Mar/20 Commented by ajfour last updated on 27/Mar/20 $${Find}\:{the}\:{maximum}\:{force}\:{applied} \\ $$$${in}\:{upturning}\:{the}\:{eql}.\:\bigtriangleup,\:{expending} \\ $$$${minimum}\:{energy}. \\ $$ Answered by…
Question Number 85606 by Rio Michael last updated on 23/Mar/20 Commented by Rio Michael last updated on 23/Mar/20 $$\mathrm{given}\:\mathrm{that}\:\mathrm{three}\:\mathrm{weights}\:\mathrm{W}_{\mathrm{1}} ,\:\mathrm{W}_{\mathrm{2}} \:{and}\:\mathrm{5}{N}\:\mathrm{are}\:\mathrm{suspended}\:\mathrm{as}\:\mathrm{shown}\:\mathrm{above}. \\ $$$$\mathrm{A}\:\mathrm{light}\:\mathrm{inextensible}\:\mathrm{string}\:\mathrm{passing}\:\mathrm{over}\:\mathrm{smooth}\:\mathrm{fixed}\:\mathrm{pulleys}\:\:\mathrm{makes}\:\mathrm{angles} \\ $$$$\mathrm{40}°\:\mathrm{and}\:\mathrm{60}°\:\mathrm{with}\:\mathrm{the}\:\mathrm{vertical}\:\mathrm{and}\:\mathrm{all}\:\mathrm{the}\:\mathrm{stings}\:\mathrm{are}\:\mathrm{taunt}\:\mathrm{at}\:\mathrm{point}\:\mathrm{A}.…