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July 17th, 2013, 09:12 AM  #1 
Newbie Joined: Jul 2013 Posts: 2 Thanks: 0  Integrate vectors along part of the circle
Hello! I hope someone can help me out because I'm a little bit rusty with my math. I have the following problem: the cylindric surface is under pressure. I know that the total resultant force in "horizontal" direction needs to be "N". So, basically, I would need to integrate all the "p*cos theta" along the curve from "theta" to "theta" if I'm not wrong. Then, when multiplied with "L" and "s" where "s" would be arc length, I would get "N". Right? But, am I doing something wrong? http://tinypic.com/r/bfqo7m/5 No img codes? Really? 
July 17th, 2013, 03:54 PM  #2  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond  Re: Integrate vectors along part of the circle Quote:
Welcome to the forum, rujan.  
July 17th, 2013, 04:15 PM  #3  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Integrate vectors along part of the circle Quote:
 
July 17th, 2013, 08:58 PM  #4 
Newbie Joined: Jul 2013 Posts: 2 Thanks: 0  Re: Integrate vectors along part of the circle
Hi and thanks. Yes, the pressure is constant . It is applied on cylindrical surface as on the sketch. The force is not 0 because while p*sin theta components cancel each other, sum of p*cos theta should give N. What I need is, if I'm not wrong is double integral first integral from 0 to theta of p*cos(theta) then the along length of the surface (cylinder height) from 0 to L which is constant anyway. Correct? 

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circle, integrate, part, vectors 
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