1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Find polar moment of region inside circle r = 3 and outside cardiod r = 2 + sin 0

  1. Apr 13, 2005 #1
    Here is the problem:

    Find the polar moment of the region that lies inside the circle [tex]r = 3[/tex] and outside the cardiod [tex]r = 2 + \sin\theta[/tex]. Assume [tex]\delta = r\theta[/tex]

    Here is what I have:

    [tex]I_{0} = I_{x} + I_{y}[/tex]

    [tex]I_{0} = \int_{0}^{2\pi}\int_{2 + \sin\theta}^{3}\;r^3\;\theta\;\sin^2\theta\;dr\;d\theta + \int_{0}^{2\pi}\int_{2 + \sin\theta}^{3}\;r^3\;\theta\;\cos^2\theta\;dr\;d\theta[/tex]

    [tex]I_{0} = \int_{0}^{2\pi}\int_{2 + \sin\theta}^{3}\;r^3\;\theta\;dr\;d\theta[/tex]

    Is this the correct setup? I don't have to manually evaluate this one, I just need to setup the integral limits and the integrand. Thank you in advance!
     
  2. jcsd
  3. Apr 13, 2005 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    It looks okay to me...The cardioide & the circle have only one common point (y=3)

    Daniel.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Find polar moment of region inside circle r = 3 and outside cardiod r = 2 + sin 0
Loading...