Menu Close

Category: Mechanics

Question-195870

Question Number 195870 by mr W last updated on 12/Aug/23 Commented by mr W last updated on 12/Aug/23 $${find}\:{the}\:{minimum}\:{speed}\:{with}\:{which} \\ $$$${the}\:{ball}\:{is}\:{launced}\:{from}\:{point}\:{A}\:{such} \\ $$$${that}\:{it}\:{can}\:{return}\:{to}\:{this}\:{point}\:{again} \\ $$$${after}\:{rebounded}\:{at}\:{point}\:{B}.…

Question-131071

Question Number 131071 by mr W last updated on 01/Feb/21 Commented by mr W last updated on 01/Feb/21 $${a}\:{small}\:{ball}\:{of}\:{mass}\:{m}\:{is}\:{fixed}\:{on} \\ $$$${the}\:{inner}\:{wall}\:{of}\:{a}\:{hollow}\:{cylinder} \\ $$$${of}\:{radius}\:{R}\:{and}\:{mass}\:{M}. \\ $$$${the}\:{cylinder}\:{is}\:{released}\:{from}\:{rest}…

Question-65414

Question Number 65414 by mr W last updated on 29/Jul/19 Commented by mr W last updated on 25/Feb/21 $${a}\:{ball}\:{is}\:{thrown}\:{from}\:{point}\:{A}\:{with} \\ $$$${speed}\:{u}\:{and}\:{at}\:{an}\:{angle}\:\theta.\:{it}\:{strikes} \\ $$$${at}\:{a}\:{point}\:{on}\:{the}\:{inclined}\:{surface}\: \\ $$$${and}\:{returns}\:{back}\:{to}\:{its}\:{start}\:{point}.…

Question-65277

Question Number 65277 by mr W last updated on 27/Jul/19 Commented by mr W last updated on 27/Jul/19 $$\left({see}\:{also}\:{Q}\mathrm{64823}\right) \\ $$$${the}\:{question}\:{is}\:{changed}\:{to}: \\ $$$${find}\:{u}\:{in}\:{terms}\:{of}\:\theta.\:{how}\:{large}\:{is}\:\theta \\ $$$${such}\:{that}\:{u}\:{is}\:{minimum}?…

Question-130350

Question Number 130350 by ajfour last updated on 24/Jan/21 Commented by ajfour last updated on 24/Jan/21 $${A}\:{hollow}\:{cylinder}\:\left({radius}\:{R},\right. \\ $$$$\left.{mass}\:{M}\right)\:{rolling}\:{down}\:{a}\:{long} \\ $$$${incline},\:{has}\:{a}\:{small}\:{ball}\:{at} \\ $$$${an}\:{angular}\:{position}\:\boldsymbol{\phi}. \\ $$$${Determine}\:\boldsymbol{\phi}\:{in}\:{terms}\:{of}…

Question-64775

Question Number 64775 by Rio Michael last updated on 21/Jul/19 Commented by Rio Michael last updated on 21/Jul/19 $${the}\:{figure}\:{above}\:{shows}\:{a}\:{string}\:{PQRS}\:,\:{P}\:{and}\:{S}\:{are}\:{attached}\:{to}\:{a}\:{fixed}\:{support}\:{and} \\ $$$${mass}\:,{m},\:{and}\:\mathrm{2}.\mathrm{5}\:\mathrm{kg}\:{are}\:{attached}\:{at}\:{the}\:{points}\:{Q}\:{and}\:{R}\:{respectively}\:{and}\:{the}\:{system} \\ $$$${is}\:{in}\:{equilibruim}.\:{Calculate} \\ $$$$\left.{a}\right)\:{the}\:{mass},{m}.…

Find-the-force-parallel-to-the-slope-required-to-move-a-body-of-mass-2kg-up-a-slope-inclined-at-30-to-the-horizontal-with-an-acceleration-oc-2m-s-2-if-the-frictional-force-is-10N-

Question Number 64751 by necx1 last updated on 21/Jul/19 $${Find}\:{the}\:{force}\:{parallel}\:{to}\:{the}\:{slope} \\ $$$${required}\:{to}\:{move}\:{a}\:{body}\:{of}\:{mass}\:\mathrm{2}{kg} \\ $$$${up}\:{a}\:{slope}\:{inclined}\:{at}\:\mathrm{30}°\:{to}\:{the} \\ $$$${horizontal}\:{with}\:{an}\:{acceleration}\:{oc}\:\mathrm{2}{m}/{s}^{\mathrm{2}} \\ $$$${if}\:{the}\:{frictional}\:{force}\:{is}\:\mathrm{10}{N}. \\ $$ Commented by necx1 last updated…