Lecture 08 sect 2.9

# Lecture 08 sect 2.9 - 1 2 3 4 x x x x F F F F =...

This preview shows pages 1–9. Sign up to view the full content.

ME 221 Lecture 8 1 ME 221 Statics Lecture #8 Sections 2.9 & 2.10

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

View Full Document
ME 221 Lecture 8 2 Homework HW #3 Due Monday, September 15 Chapter 2 problems: 61, 64, 70, 71, 72, 82, 86, 94, 105 & 113 Grades posted in Angel HW #1 & Quiz #1 (and solutions) HW #2 & Quiz #2 soon (solutions posted) HW #3 solutions to be posted late Monday No late homework will be accepted once posted
ME 221 Lecture 8 3 Exam 1 Wednesday, September 17 Details on Monday

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

View Full Document
ME 221 Lecture 8 4 Particle Equilibrium For a particle to be in equilibrium, the resultant of the forces acting on it must sum to zero. This is essentially Newton’s second law with the acceleration being zero. In equation form: Σ F = 0
ME 221 Lecture 8 5 Representing Equilibrium m i Vector Diagram R = F 1 + F 2 + F 3 + F 4 = 0 Vector Equation F 1 F 2 F 3 F 4 F 1 F 2 F 3 F 4

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

View Full Document
ME 221 Lecture 8 6 Representing Equilibrium Matrix Form 1 2 3 4 1 2 3 4 1 2 3 4 0 0 0 x x x x y y y y z z z z F F F F F F F F F F F F     + + + =

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: 1 2 3 4 x x x x F F F F + + + = x-components 1 2 3 4 y y y y F F F F + + + = y-components 1 2 3 4 z z z z F F F F + + + = z-components Component Form ME 221 Lecture 8 7 Statically Determinate • For 3-D equilibrium, there are three scalar equations: Σ F x = 0 , Σ F y = 0 , Σ F z = 0 • Problems with more than three unknowns cannot be solved without more information, and such problems are called statically indeterminate. ME 221 Lecture 8 8 Free-body Diagram A free-body diagram is a pictorial representation of the equation Σ F = 0 and has: – all of the forces represented in their proper sense and location – indication of the coordinate axes used in applying Σ F = 0 ME 221 Lecture 8 9...
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