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Category: Mechanics

Question-177446

Question Number 177446 by mr W last updated on 05/Oct/22 Commented by mr W last updated on 05/Oct/22 $${a}\:{rope}\:{with}\:{length}\:{L}\:{has}\:{uniform} \\ $$$${mass}.\:{one}\:{end}\:{of}\:{the}\:{rope}\:{is}\:{fixed}\:{on} \\ $$$${the}\:{top}\:{of}\:{a}\:{pole}\:{with}\:{heigth}\:{h}\:{above}\:{a} \\ $$$${inclined}\:{plane}\:\left({h}<{L}\right).\:{the}\:{other}\:{end}…

Question-46299

Question Number 46299 by rahul 19 last updated on 23/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 23/Oct/18 $${area}\:{remaining}\:{portion}=\pi{R}^{\mathrm{2}} −\pi\left(\frac{{R}}{\mathrm{3}}\right)^{\mathrm{2}} \\ $$$$=\pi{R}^{\mathrm{2}} \left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{9}}\right)=\frac{\mathrm{8}\pi{R}^{\mathrm{2}} }{\mathrm{9}} \\ $$$${mass}\:{per}\:{unit}\:{area}\left(\rho\right)=\frac{{M}}{\frac{\mathrm{8}\pi{R}^{\mathrm{2}}…

Question-46194

Question Number 46194 by ajfour last updated on 22/Oct/18 Commented by ajfour last updated on 25/Oct/18 $${If}\:{the}\:{cylinders}\:\left({radius}\:{r},\:{mass}\:{m}\right) \\ $$$${are}\:{released}\:{as}\:{shown},\:{find}\:{the} \\ $$$${Normal}\:{Reactions}\:{N}\:{as}\:{as}\:{a} \\ $$$${function}\:{of}\:{time}\:{t}. \\ $$$${Assume}\:{all}\:{surfaces}\:{frictionless}.…

Question-46180

Question Number 46180 by ajfour last updated on 22/Oct/18 Commented by ajfour last updated on 22/Oct/18 $${If}\:{the}\:{stick}\:{is}\:{released}\:{in}\:{the} \\ $$$${position}\:{as}\:{shown}\:{in}\:{diagram}, \\ $$$${end}\:{A}\:\:{slides}\:{on}\:{yz}\:{wall}\:{then} \\ $$$${loses}\:{contact}\:{with}\:{it}\:{at}\:{P}.\:{Find} \\ $$$${coordinates}\:{of}\:{P}.\:{Assume}\:{all}…

Imagine-that-a-hole-is-drilled-from-one-point-on-the-earth-surface-to-the-other-side-through-the-diameter-of-the-earth-and-small-of-mass-m-released-into-the-hole-show-that-the-hole-of-mass-exc

Question Number 177240 by peter frank last updated on 02/Oct/22 $$\mathrm{Imagine}\:\mathrm{that}\:\mathrm{a}\:\mathrm{hole}\:\mathrm{is}\:\mathrm{drilled} \\ $$$$\mathrm{from}\:\mathrm{one}\:\mathrm{point}\:\mathrm{on}\:\mathrm{the}\:\mathrm{earth}\: \\ $$$$\mathrm{surface}\:\mathrm{to}\:\mathrm{the}\:\mathrm{other}\:\mathrm{side}\:\mathrm{through}\:\mathrm{the} \\ $$$$\mathrm{diameter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{and}\:\mathrm{small} \\ $$$$\mathrm{of}\:\mathrm{mass}\:\:^{'} \mathrm{m}^{'} \:\mathrm{released}\:\mathrm{into}\:\mathrm{the}\:\mathrm{hole}. \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{hole}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{excute} \\ $$$$\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{motion}\:\mathrm{and}…

Object-A-is-in-motion-A-moves-at-a-velocity-of-12ms-2-and-B-is-still-not-moving-If-A-collides-with-B-a-Calculate-the-velocity-at-which-B-will-move-if-it-has-mass-of-70kg-and-A-has-mass-of-60

Question Number 46144 by Rio Michael last updated on 21/Oct/18 $$\:{Object}\:{A}\:{is}\:{in}\:{motion}.{A}\:{moves}\:{at}\:{a}\:{velocity}\:{of}\: \\ $$$$\mathrm{12}{ms}^{−\mathrm{2}} \:{and}\:{B}\:{is}\:{still}\left({not}\:{moving}\right).{If}\:{A}\:{collides}\:{with}\:{B}. \\ $$$$\left.{a}\right)\:{Calculate}\:{the}\:{velocity}\:{at}\:{which}\:{B}\:{will}\:{move}\:{if}\:{it}\:{has}\:{mass} \\ $$$${of}\:\mathrm{70}{kg}.\:{and}\:{A}\:{has}\:{mass}\:{of}\:\mathrm{60}{kg}. \\ $$$$\left.{b}\right)\:{the}\:{momentum}\:{after}\:{collision}. \\ $$$$\left.{c}\left.\right)\left.\:{state}\:{the}\:{principle}\:{you}\:{applied}\:{in}\:{a}\right)\:{and}\:{b}\right)\:{above} \\ $$$$ \\…

Question-177214

Question Number 177214 by mr W last updated on 02/Oct/22 Commented by mr W last updated on 02/Oct/22 $${the}\:{friction}\:{coefficient}\:{between}\:{the} \\ $$$${thin}\:{rod}\:{and}\:{the}\:{ground}\:{as}\:{well}\:{as}\:{the} \\ $$$${wall}\:{is}\:\mu.\:{the}\:{length}\:{of}\:{the}\:{rod}\:{is}\:{L}.\: \\ $$$${find}\:{the}\:{condition}\:{which}\:{a}\:{and}\:{b}…

Question-46029

Question Number 46029 by rajabhay last updated on 20/Oct/18 Commented by rajabhay last updated on 20/Oct/18 $$\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{is}\:\mathrm{answer}\:\mathrm{given}\:\mathrm{in}\:\mathrm{book}. \\ $$$$\mathrm{Please}\:\mathrm{help}. \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{did}\:\mathrm{the}\:\mathrm{following} \\…