Find the area of the loop using Green's Theorem

coolusername
Messages
36
Reaction score
0

Homework Statement



Problem in attachment.


Homework Equations





The Attempt at a Solution



Unfortunately I was unable to attend my only class where my proffessor taught this method of solving area. Plus my prof and classmates won't help me.

Does anybody know how to solve area using this method?
 

Attachments

  • Scan Apr 5, 2014, 12_05 PM-page1.jpg
    Scan Apr 5, 2014, 12_05 PM-page1.jpg
    53.2 KB · Views: 472
Physics news on Phys.org
Well, as a start, you can't go wrong by following the directions in the problem statement.

Why don't you try that and see what happens? You can always ask a follow-up question if you get stuck along the way.
 
y = tx

dy/dt = x

dy = xdt

I don't know what x should equal in terms of t.

Am I on the right track?
 
coolusername said:
y = tx

dy/dt = x

dy = xdt

I don't know what x should equal in terms of t.

Am I on the right track?

Put y = tx in the original equation to get x in terms of t.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

Similar threads

Back
Top