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AravindG
 4 years ago
A disc of radius r at time t=0 moving along positive x axis with linear speed v and angular speed w .Find the x and y coordinates of the bottommost point at any time t
AravindG
 4 years ago
A disc of radius r at time t=0 moving along positive x axis with linear speed v and angular speed w .Find the x and y coordinates of the bottommost point at any time t

This Question is Closed

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.3So is this point fixed, or is it the point that is always in contact with the surface? If it's the latter, it's trivial. So I'm guessing you actually want to first?

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1i hav a fig hope it helps

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2dw:1327764644850:dw\[\overrightarrow{OP}=\overrightarrow{OA}+\overrightarrow{AB}+\overrightarrow{BP}=<r\theta,0>+\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327765593766:dwhere dont bother about omega as as it is zero (v=rw) so just consider the velocity and plot down the points(for that u have to know how it moves along the axis at a given time ) considering uniform velocity v at time t in a straight line(xaxis) v/t will give the xcoordinate y cordinate is zero

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1hw is omega equal to 0??

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2\[\overrightarrow{OP}=\overrightarrow{OA}+\overrightarrow{AB}+\overrightarrow{BP}=<r\theta,0>+<0,r>+<r\sin\theta,r\cos\theta>\]\[\overrightarrow{OP}=<r\thetar\sin\theta,rr\cos\theta>\]subbing in omega t for the angle\[\overrightarrow{OP}=<r(\omega t\sin(\omega t)),r(1\cos(\omega t))>\]if we are talking about the situation I am imagining...

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2Thanks, hats of to OCW on that :D

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1heyy TT why is your and salini's answr different?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2I don't know what situation salini is imagining, but it is different than mine. I think he is imagining just looking at whatever point is on the bottom, not letting it rotate.

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1so which is the right method?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2if you are talking about this http://ocw.mit.edu/courses/mathematics/1802scmultivariablecalculusfall2010/partcparametricequationsforcurves/session17generalparametricequationsthecycloid/MIT18_02SC_s17_applet.html then mine is right depends on what your question means, are we following point P or always looking at the bottom

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i thought that the point on the bottom lies on the axis of rotation of the disc then omega=v/r where r is 0

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2Well which is it arvind? are we always looking at the bottom point or are we following point P which starts at the bottom?

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1wel i think we are looking at co ordinates of bottom point

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1but in pure rollindg dont we assume that the particles rotate about the bottom point???

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2then why does it ask for the ycoordinates if they don't change?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh i get it......when u said ocw helped u solve this was it walter lewin professors video?

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1guys i will be back in 10 min

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2actually I learned about cycloids from the multivariable calculus section

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh thank u for rresponding

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.1so wat is the answer is it salini's or turings??

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2ohj here it is http://ocw.mit.edu/courses/mathematics/1802scmultivariablecalculusfall2010/partcparametricequationsforcurves/session18pointcusponcycloid/ @arvind you have to figure out what your question is asking

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.3^^ exactly. The fact that you (Aravind) aren't clear on what the question is makes me very suspicious that you're actually paying attention to the method in the solutions. That is why I recommend again that you only post one or at the most two questions at a time. With those one or two questions, really, truly, thoroughly, completely understand the answers, then move onto the next problem. This is example number #9 or #10 in my book where it's clear to me you're not really paying attention to the answers we give. I'm not going to help you again, unless I see you try and really work out a problem with us, instead of putting things out there and grabbing in a half*ssed way the answers and questions we propose back to you.
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