Hey, I am trying to prove that taking a 'horizontal' and 'vertical' strip equates to the same answer for the following problem. I have the current solution for taking a horizontal strip (ie dA = dxdy) and letting the bounds of x be between the two equations x(y) and the bounds of y be between zero and -1/2.(adsbygoogle = window.adsbygoogle || []).push({});

What I am trying to accomplish is to set up the integration differently to yield the same result (to aid in my conceptual understanding). From my understanding the below integral should be 'equivalent' as dy is integrated between the two bounded equations and x is bounded between 1 and -2:

However this integral evaluates to 27pg/32 which is obviously incorrect. I was wondering if anyone could help me with my approach/logic. The solution using the textbooks method is below:

Cheers.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Calculating total force over bounded area [Given p density]

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads for Calculating total force |
---|

I How to calculate the area under a curve |

**Physics Forums | Science Articles, Homework Help, Discussion**