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Moment of Intertia

  1. Jul 26, 2014 #1
    This is my first time posting in this site so if I left out any information or the information needs to be formatted differently I apologize ahead of time.

    1. The problem statement, all variables and given/known data

    Determine the moment of inertia of the area about the y axis.

    The curve is represented by y2=2x, and the shaded region is the smaller area above the curve.


    2. Relevant equations

    Is the parallel axis theorem needed? If it is, why is the reason?

    3. The attempt at a solution

    Since the problem asks for moment of Intertia about the y-axis

    1. Iy= ∫x2dA.

    2. I chose my dA to be xdy because I need to find a "bar" perpendicular to the axis I am trying to find the moment of inertia about.

    3. Solved

    Iy= ∫x2ydx.
    I substituded (2-/sqrt(2x)) for y and solved for the integral from (0<x<2)

    My answer I got was 2.13m4 and the answer is incorrect.

    Is my process correct or do I need to find different limits of integration?
  2. jcsd
  3. Jul 26, 2014 #2
    I don't know how to close a thread, I found out my error was in the integration process.

    Solved, Iy= .762m^4.
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