lecture+notes+18

# lecture+notes+18 - 14:440:222 Dynamics (Lecture Note #18)...

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

14:440:222 Dynamics (Lecture Note #1 8 ) Instructor: Prof. Peng Song Rutgers University

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

View Full Document
Today’s Lecture • Relative-Motion Analysis Using Rotating Axes
The velocity at B is given as : (d r B /dt) = (d r A /dt) + (d r B/A /dt) or v B = v A + v B/A Relative Motion Analysis: Velocity v B/A = d r B/A /dt = ω × r B/A

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

View Full Document
a B = a A + ( a B/A ) t +( a B/A ) n Relative Motion Analysis: Acceleration a B = a A + α× r B/A ω 2 r B/A
Applications

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

View Full Document
A B A B / r r r + = Rotating Frame Position Ω = angular velocity of the x,y,z frame, measured from the X,Y,Z frame
Differentiation of moving axes i i j j j i Ω = = Ω = = ) ( ) ( dt d dt d dt d dt d θ j j i i × Ω = × Ω = dt d dt d

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

View Full Document
dt d A B A B / r v v + = + + + = + + + = + = dt d y dt d x dt dy dt dx dt d y dt dy dt d x dt dx y x dt d dt d B B B B B B B B B B A B j i j i j j i i j i r ) ( / Velocity A B xyz A B B B xyz A B y x / / / ) ( ) ( ) ( r v j i v × Ω + = + × Ω + = xyz A B A B A B ) ( / / v r v v + × + =
This is the end of the preview. Sign up to access the rest of the document.

## This document was uploaded on 10/31/2011 for the course ENG MECH 232 at Rutgers.

### Page1 / 19

lecture+notes+18 - 14:440:222 Dynamics (Lecture Note #18)...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online