double integration to find the mass

[physica]

I need some help being pointed in the right direction as each part of the question follows on to the next. I think I understand double integration.

 

For this I have identified that the fin has vertices of: (1,1), (2,0), (5.9)

 

the next step is where I am having difficulty. I do a double integration using Y first in order to keep it simple.

 

So i integrate from: y=(2-x)^2 to y=2-(y)^1/2

 

I then integrate from: x=1 to x=5

 

I don't know if this is correct or if I'm having problems with finding the center of mass because the center of mass is way outside the fin.

 

Am I having trouble with finding the center of maths or have I got the double integration wrong? If I have the double integration wrong what should I integrate first?

 

Many thanks

[studiot]

 

Attached Thumbnails

 

 

 

Edited April 26, 2014 by studiot

[physica]

it's right below the many thanks comment

[studiot]

 

(a) Sketch the region..............

 

 

I was looking for a sketch.

[studiot]

You have a PM