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Category: Mechanics

Question-153374

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}}.…

A-ball-is-thrown-vertically-upwards-with-a-velocity-of-10-ms-1-from-a-point-75m-above-the-ground-How-long-will-it-take-the-ball-to-strike-the-ground-

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…

A-small-mass-rest-on-a-horizontal-plat-form-which-vibrates-vertically-in-simple-harmonic-motion-with-period-0-50s-Find-the-maximum-amplitude-of-the-motion-which-allow-which-allow-the-mass-to-remain-

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-152388

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}} \\…

a-ball-is-droped-from-a-height-20-m-Given-that-it-rebounce-with-a-velocity-of-3-4-that-which-it-hit-the-ground-find-the-time-interval-between-the-first-and-second-rebounce-

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-85606

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}.…

Question-150410

Question Number 150410 by ajfour last updated on 12/Aug/21 Commented by ajfour last updated on 12/Aug/21 $${If}\:{length}\:{of}\:{cylinder}\:{and} \\ $$$${both}\:{width}\:{and}\:{length}\:{of} \\ $$$${wedge}\:{are}\:{equal},\:{and}\:{that} \\ $$$${their}\:{material}\:{densities} \\ $$$${are}\:{even}\:{equal},\:{and}\:{their}…

Question-84628

Question Number 84628 by mr W last updated on 14/Mar/20 Commented by mr W last updated on 14/Mar/20 $${The}\:{distance}\:{between}\:{A}\:{and}\:{B}\:{is}\:{d}. \\ $$$${Two}\:{projectiles}\:{are}\:{shot}\:{at}\:{the}\:{same} \\ $$$${time}\:{as}\:{shown}. \\ $$$${After}\:{which}\:{time}\:{are}\:{the}\:{projectiles}…