set_cv3_problem

# set_cv3_problem - Problem Set CV3 MMAE 501 Engineering...

This preview shows pages 1–3. Sign up to view the full content.

Problem Set CV3 MMAE: 501 Engineering Analysis I Kevin W. Cassel Mechanical, Materials and Aerospace Engineering Department Illinois Institute of Technology 10 West 32nd Street Chicago, IL 60616 [email protected] Problem Reference Problem # 1: Hildebrand, Chapter 2, Problem 57 Problem # 2: Hildebrand, Chapter 2, Problem 60 Problem # 3: Hildebrand, Chapter 2, Problem 71 Problem # 4: Hildebrand, Chapter 2, Problem 78 Problem # 5: Hildebrand, Chapter 2, Problem 87 Problem # 6: Hildebrand, Chapter 2, Problem 89(a) c 2007 Kevin W. Cassel 1

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

View Full Document
Problem # 1 A particle of mass m is moving vertically, under the action of gravity and a resistive force numerically equal to k times the downward displacement x from an equilibrium position. Show that the equation of Hamilton’s principle is of the form δ Z t 2 t 1 1 2 m ˙ x 2 + mgx - 1 2 kx 2 dt = 0 , and obtain the Euler equation. Problem # 2 Three masses are connected in series to a fixed support, by linear springs. Figure 1.
This is the end of the preview. Sign up to access the rest of the 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