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Category: Mechanics

Question-40928

Question Number 40928 by rahul 19 last updated on 29/Jul/18 Answered by MrW3 last updated on 29/Jul/18 $${length}\:{of}\:{rope}\:{l}=\mathrm{2}\pi{r}=\pi{R} \\ $$$${let}\:\lambda=\frac{{W}}{{l}}=\frac{{W}}{\pi{R}} \\ $$$$\mathrm{cos}\:\theta=\frac{{r}}{{R}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\Rightarrow\theta=\frac{\pi}{\mathrm{3}}=\mathrm{60}° \\…

Question-171908

Question Number 171908 by ajfour last updated on 21/Jun/22 Commented by ajfour last updated on 21/Jun/22 $${Man}\:{has}\:{to}\:{water}\:{the}\:{tree} \\ $$$${once}\:{with}\:{volume}\:{V}_{\mathrm{0}} \:.\:{His} \\ $$$${bucket}\:{leaks}\:{at}\:{a}\:{rate}\:\frac{{dV}}{{dt}}=−{kV}. \\ $$$${his}\:{speed}={u}\left(\mathrm{2}−\frac{{m}}{{m}+\rho{V}}\right) \\…

Question-106094

Question Number 106094 by Dwaipayan Shikari last updated on 02/Aug/20 Commented by Dwaipayan Shikari last updated on 02/Aug/20 Dwaipayan Shikari: The wedge's Surface is friction less (where the ball of mass 'm' will roll) and the friction coefficient between wedge and the ground is also negligible.( An oily surface ��) Calculate the velocity of the wedge when the ball will fly off. Additional information is on the picture Commented by Dwaipayan Shikari last updated…

Question-40551

Question Number 40551 by ajfour last updated on 24/Jul/18 Commented by ajfour last updated on 24/Jul/18 $${A}\:{chain}\:{of}\:{mass}\:\boldsymbol{{m}},\:{length}\:\boldsymbol{{l}} \\ $$$${hangs}\:{the}\:{table}\:{edge}\:{only}\:{as}\:{much} \\ $$$${so}\:{that}\:{it}\:{just}\:{starts}\:{slipping} \\ $$$${down}.\:{Friction}\:{coefficient}\: \\ $$$${between}\:{chain}\:{and}\:{table}\:{being}\:\boldsymbol{\mu}.…

A-block-lying-on-a-horizontal-conv-eyor-belt-moving-at-a-constant-velocity-receives-a-velocity-5m-s-at-t-0-sec-relative-to-the-ground-in-the-direction-opposite-to-the-dir-ction-of-motion-of-the-

Question Number 40396 by LXZ last updated on 21/Jul/18 $${A}\:{block}\:{lying}\:{on}\:{a}\:{horizontal}\:{conv}− \\ $$$${eyor}\:{belt}\:{moving}\:{at}\:\:{a}\:{constant}\: \\ $$$${velocity}\:{receives}\:{a}\:{velocity}\:\mathrm{5}{m}/{s} \\ $$$${at}\:{t}=\mathrm{0}\:{sec}.\:{relative}\:{to}\:{the}\:{ground}\: \\ $$$${in}\:{the}\:{direction}\:{opposite}\:{to}\:{the}\:{dir}− \\ $$$${ction}\:{of}\:{motion}\:{of}\:{the}\:{conveyor}. \\ $$$${Aftert}=\mathrm{4}{sec},{the}\:{velocity}\:{of}\:{the}\: \\ $$$${block}\:{becomes}\:{equal}\:{to}\:{the}\:{velocity} \\…

Question-105925

Question Number 105925 by ajfour last updated on 01/Aug/20 Commented by ajfour last updated on 02/Aug/20 $${Find}\:{u}_{{min}} \:{such}\:{that}\:{the}\:{solid}\:{ball} \\ $$$${can}\:{climb}\:{up}\:{the}\:{plank}.\:{Mass}\:{of} \\ $$$${ball}\:{m},\:{and}\:{that}\:{of}\:{plank}\:{is}\:{M}. \\ $$$$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\…

A-wheel-revolving-at-6rev-s-has-an-angular-acceleration-of-4rad-s-2-find-the-number-of-turns-the-wheel-must-take-to-reach-26rev-s-and-the-time-required-

Question Number 105842 by aurpeyz last updated on 01/Aug/20 $$\mathrm{A}\:\mathrm{wheel}\:\mathrm{revolving}\:\mathrm{at}\:\mathrm{6rev}/\mathrm{s}\:\mathrm{has}\:\mathrm{an}\:\mathrm{angular}\: \\ $$$$\mathrm{acceleration}\:\mathrm{of}\:\mathrm{4rad}/\mathrm{s}^{\mathrm{2}} .\:\mathrm{find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\: \\ $$$$\mathrm{turns}\:\mathrm{the}\:\mathrm{wheel}\:\mathrm{must}\:\mathrm{take}\:\mathrm{to}\:\mathrm{reach}\:\mathrm{26rev}/\mathrm{s} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{time}\:\mathrm{required}. \\ $$ Terms of Service Privacy Policy Contact:…