# Moment of Intertia

1. Jul 26, 2014

### Cheerios

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

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)

Is my process correct or do I need to find different limits of integration?

2. Jul 26, 2014

### Cheerios

I don't know how to close a thread, I found out my error was in the integration process.

Solved, Iy= .762m^4.