ME 2320 Lecture Notes - Lecture 28: Angular Acceleration, Dot Product, Circular Motion
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Chapters 13: 13. 6 curvilinear motion normal and tangential components1. Portions of these lecture notes are taken from those of prof. jeff thomas. Recall that velocity is tangent to the path of motion (trajectory). We can express it as v t ( ) t v t e where te is the unit vector tangent to the path. Clearly, this varies from point to point, so. Can we calculate acceleration directly from this expression of velocity, v t. The second term is zero for straight-line motion. Note the parallel to the result we derived in the previous lecture: de dt d n dt n. We will now derive an expression similar to this for te . In cartesian components, we can write e t t e t i x e t y j cos t i sin t j. 2 recall the product rule: x g x f f x g x x g x f.
