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

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cceleration Acceleration Outline of Hass, Thomas, Weir – Section 10.5
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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.
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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 .
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Tangential and Normal Components of Acceleration The acceleration vector can be written as
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This note was uploaded on 02/05/2012 for the course MATH 2203 taught by Professor Ellermeyer during the Fall '10 term at FIU.

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

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