{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

s07 - The amount of wire is easily seen to be(d-k(D 2 4x 2...

This preview shows pages 1–2. Sign up to view the full content.

Solution to Problem 7 Congratulations to this week’s winner Kevin Bourrillion There were 4 solutions received. Kevin’s was the only one that was both correct and complete. Now to the answer: Let x denote the vertical distance from where the wire is attached to the trees to the point where the descending wire begins. Then x lies in the interval [0,d] with x = 0 corresponding to the "T"--shaped configuration and x = d corresponding to the "V"-shaped configuration.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The amount of wire is easily seen to be (d-k) + (D 2 + 4x 2 ) 1/2 . Our task is to minimize this quantity over the interval [0,d] . Straightforward differentiation gives a unique local minimum at the point P = (D 2 /12) 1/2 . This local minimum is a global minimum as long as it is a point in the interval in question, i.e. as long as P < d . In the other case the "V"-shaped configuration yields a minimum....
View Full Document

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern