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Category: Mechanics

point-A-is-at-the-bottom-of-a-rough-plane-which-is-inclined-at-an-angle-to-the-horizontal-A-body-of-mass-m-is-projected-from-A-along-and-end-up-a-line-of-greatest-slope-along-the-plane-the-c

Question Number 119661 by aurpeyz last updated on 26/Oct/20 $${point}\:{A}\:{is}\:{at}\:{the}\:{bottom}\:{of}\:{a}\:{rough}\: \\ $$$${plane}\:{which}\:{is}\:{inclined}\:{at}\:{an}\:{angle}\: \\ $$$$\Theta\:{to}\:{the}\:{horizontal}.\:{A}\:{body}\:{of}\:{mass}\: \\ $$$${m}\:{is}\:{projected}\:{from}\:{A}\:{along}\:{and}\:{end}\: \\ $$$${up}\:{a}\:{line}\:{of}\:{greatest}\:{slope}\:\left({along}\:{the}\right. \\ $$$$\left.{plane}\right).\:{the}\:{cofficient}\:{of}\:{friction}\:{between} \\ $$$${the}\:{body}\:{and}\:{the}\:{plane}\:{is}\:\varphi.\:{it}\:{then}\: \\ $$$${comes}\:{to}\:{rest}\:{at}\:{point}\:{B}\:{at}\:{a}\:{distance}\:{X}\: \\…

A-stone-is-thrown-vertically-upwards-from-the-top-of-a-tower-50-0m-high-with-an-initial-velocity-of-20-0ms-1-calculate-i-the-maximum-height-the-stone-reaches-ii-the-time-it-takes-to-reach-the-maxi

Question Number 54015 by shaddie last updated on 28/Jan/19 $$\mathrm{A}\:\mathrm{stone}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{vertically}\:\mathrm{upwards}\:\mathrm{from}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{a}\:\mathrm{tower}\:\mathrm{50}.\mathrm{0m}\:\mathrm{high}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{20}.\mathrm{0ms}^{−\mathrm{1}} .\mathrm{calculate} \\ $$$$\mathrm{i}.\mathrm{the}\:\mathrm{maximum}\:\mathrm{height}\:\mathrm{the}\:\mathrm{stone}\:\mathrm{reaches} \\ $$$$\mathrm{ii}.\mathrm{the}\:\mathrm{time}\:\mathrm{it}\:\mathrm{takes}\:\mathrm{to}\:\mathrm{reach}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{height} \\ $$$$\mathrm{iii}.\mathrm{the}\:\mathrm{total}\:\mathrm{distance}\:\mathrm{it}\:\mathrm{covers}\left[\mathrm{take}\:\mathrm{g}=\mathrm{10ms}^{−\mathrm{1}} \right] \\ $$ Answered by estudiante last updated…

Question-53881

Question Number 53881 by ajfour last updated on 26/Jan/19 Commented by ajfour last updated on 26/Jan/19 $${If}\:\theta\left(\mathrm{0}\right)=\theta_{\mathrm{0}} \:,\:{find}\:{x}\left(\theta\right)\:{and}\:{if}\:{possible} \\ $$$$\theta\left({t}\right).\:{Is}\:{there}\:{an}\:{x}_{{max}} \:? \\ $$ Commented by…

Question-53841

Question Number 53841 by rahul 19 last updated on 26/Jan/19 Commented by rahul 19 last updated on 27/Jan/19 $$\left.{Mrw}\:{sir},\:\mathrm{1}\right){when}\:{do}\:{we}\:{apply}\:{formula} \\ $$$$\left.{K}\left..{E}=\:\frac{\mathrm{1}}{\mathrm{2}}{I}\omega^{\mathrm{2}} \:?\:\:\:\:\:\mathrm{2}\right)\right)\:{what}\:{is}\:{the}\:{diff}. \\ $$$${between}\:{circular}\:\&\:{rotational}\:{motion}\: \\…

Question-53824

Question Number 53824 by ajfour last updated on 26/Jan/19 Commented by ajfour last updated on 26/Jan/19 $${Cone}\:{is}\:{solid},\:{wall}\:{is}\:{smooth}.\:{Find} \\ $$$${maximum}\:{length}\:{of}\:{string}\:{possible} \\ $$$${to}\:{hold}\:{the}\:{cone}\:{against}\:{the}\:{wall}. \\ $$ Answered by…

Question-53811

Question Number 53811 by ajfour last updated on 26/Jan/19 Commented by ajfour last updated on 26/Jan/19 $${Find}\:{u}_{{min}} \:{and}\:{corresponding}\:\theta\:{for}\: \\ $$$${this}\:{to}\:{be}\:{possible}. \\ $$$$\left({e}\:{is}\:{the}\:{coefficient}\:{of}\:{restitution}\right. \\ $$$${for}\:{collision}\:{of}\:{ball}\:{with}\:{ground}\: \\…

Question-53593

Question Number 53593 by ajfour last updated on 23/Jan/19 Commented by ajfour last updated on 23/Jan/19 $${Having}\:{removed}\:{the}\:{largest}\:{cube} \\ $$$${from}\:{a}\:{hemisphere},\:{it}\:{can}\:{rest}\:{in} \\ $$$${equilibrium}\:{on}\:{a}\:{rough}\:{incline} \\ $$$${plane}\:{of}\:{inclination}\:\alpha,\:{in}\:{the} \\ $$$${manner}\:{shown}.\:{Find}\:\theta.…