# LECTUR~18_16.5 - RELATIVE MOTION ANALYSIS VELOCITY Todays...

This preview shows pages 1–7. Sign up to view the full content.

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

View Full Document
Today s Objec-ves : Students will be able to: 1. Describe the velocity of a rigid body in terms of transla;on and rota;on components. 2. Perform a rela;ve-­‐mo;on velocity analysis of a point on the body. RELATIVE MOTION ANALYSIS: VELOCITY In-Class Activities : Check Homework Reading Quiz Applications Translation and Rotation Components of Velocity Relative Velocity Analysis Concept Quiz Group Problem Solving Attention Quiz
READING QUIZ 1. When a rela;ve-­‐mo;on analysis involving two sets of coordinate axes is used, the x -­‐ y coordinate system will A) be aEached to the selected point for analysis. B) rotate with the body. C) not be allowed to translate with respect to the fixed frame. D) None of the above. 2. In the rela;ve velocity equa;on, v B/A is A) the rela;ve velocity of B with respect to A. B) due to the rota;onal mo;on. C) ω × r B/A . D) All of the above.

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

View Full Document
APPLICATIONS As the slider block A moves horizontally to the left with v A , it causes the link CB to rotate counterclockwise. Thus v B is directed tangent to its circular path. Which link is undergoing general plane motion? Link AB or link BC? How can the angular velocity, ω , of link AB be found?
APPLICATIONS (continued) Planetary gear systems are used in many automobile automatic transmissions. By locking or releasing different gears, this system can operate the car at different speeds. How can we relate the angular velocities of the various gears in the system?

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

View Full Document
RELATIVE MOTION ANALYSIS (Section 16.5) When a body is subjected to general plane motion, it undergoes a combination of translation and rotation . d r B = d r A + d r B/A Disp. due to translation and rotation Disp. due to translation Disp. due to rotation Point A is called the base point in this analysis. It generally has a known mo;on. The x -­‐ y frame translates with the body, but does not rotate. The displacement of point B can be wriEen:
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