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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.

    0m<x<2m
    0m<y<2m

    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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