# Mass distribution of a semi-infinite stick

1. Jun 7, 2015

### Jzhang27143

1. The problem statement, all variables and given/known data
Given a semi-infinite stick (that is, one that goes off to infinity in one direction), determine how its density should depend on position so that it has the following property: If the stick is cut at an arbitrary location, the remaining semi-infinite piece will balance on a support that is located a distance l from the end.

http://www.personal.kent.edu/~fwilliam/Chapter 1 Statics.pdf - Problem 18
2. Relevant equations
T = r x F

3. The attempt at a solution
In the linked solution, I understand the setup, but I do not understand how to find the derivative of the integral with respect to x0. Can someone give me a more detailed explanation of this step?

2. Jun 8, 2015

### haruspex

Last edited: Jun 8, 2015