{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter 15 Summary

# Chapter 15 Summary - Chapter 15 Summary 5 types of motion...

This preview shows pages 1–5. Sign up to view the full content.

Click to edit Master subtitle style Chapter 15 Summary 5 types of motion Translation Rotation about a fixed axis General plane motion Motion about a fixed point General motion

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

View Full Document
Click to edit Master subtitle style 1) Translation Includes rectilinear and curvilinear r B = r A + r B/A v B = v A + v B/A a B = a A + a B/A
Click to edit Master subtitle style 2) Rotation about a fixed axis v = d r /dt = x r ω ω = ω k a = α x r + ω x (ω x r) k is the axis of rotation. You may have to calculate the axis of rotation if it does not line up with the usual i, j, k axes. r is the position vector drawn from any point on the axis of rotation to point P.

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

View Full Document
Click to edit Master subtitle style Example Axis of rotation aligned with rod AB. We found in class that axis k is: k′ = 0.8 i - 0.36 j + 0.48 k Then ω = 10/s ( 0.8 i - 0.36 j + 0.48 k) r is measured from anywhere on the axis of rotation. In this problem, it is convenient to measure from either point A or point B. Since we are calculating velocity and acceleration of point E, the vector could be either r E/A or r E/B. Example: r E/ B = -0.3 m k . To get direction, rotation must follow the right- hand rule.
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