Parameterize an intersection between a cylinder and plane z=0

xodaaaaax
Messages
3
Reaction score
0
Homework Statement
Help with parameterize the intersection as shown in the figure
Relevant Equations
x^2+y^2=4 and z=0
Screenshot_1.png


Attempt.jpg
 
Physics news on Phys.org
You say that you are going clockwise, but your arrows and equations look counterclockwise.
Other than that, it looks ok to me. Shouldn't all those 'sen's be 'sin's?
 
FactChecker said:
You say that you are going clockwise, but your arrows and equations look counterclockwise.
Other than that, it looks ok to me. Shouldn't all those 'sen's be 'sin's?
Oh my bad i was copying my notes into that picture so that it would be easier to understand them and messed up those arrows, yes they should be going clockwise. anyways, i type "sen" because i speak spanish, sorry about that.

So those are the values i should substitute in that integral?
 
Your y(t) equation will make it go around counterclockwise.
 
FactChecker said:
Your y(t) equation will make it go around counterclockwise.
I think i get it now, thank you so much
 
xodaaaaax said:
anyways, i type "sen" because i speak spanish
... and "sin" en español means "without".
 
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...
Back
Top