notes001 (4)

# notes001 (4) - Acceleration Outline of Hass, Thomas, Weir...

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

cceleration Acceleration Outline of Hass, Thomas, Weir – Section 10.5

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

View Full Document
e TNB Frame The TNB Frame Suppose that r t is a smooth curve that describes the otion f article motion of a particle. The unit binormal vector , B t , is defined to be B t T t N t . The three vectors T , N , B form what is called the NB ame r e renet ame r e oving article TNB frame or the Frenet frame for the moving particle. These three vectors are mutually orthogonal to each other. T gives the forward direction of the motion. N gives the direction in which the motion turns in the plane of motion. B gives the direction inwhich theparticle tends to twist out of the plane of motion.
ample Example article avels long elix ith otion escribed y A particle travels along a helix with motion described by x a cos t y a sin t ind nd z bt . Find T t , N t , and B t .

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

View Full Document
Tangential and Normal Components of Acceleration The acceleration vector can be written as
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/05/2012 for the course MATH 2203 taught by Professor Ellermeyer during the Fall '10 term at FIU.

### Page1 / 8

notes001 (4) - Acceleration Outline of Hass, Thomas, Weir...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online