1443 Lecture 3

1443 Lecture 3 - 1443 Lecture 3 CHAPTER 2 MECHANICS...

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1443 Lecture 3 CHAPTER 2 MECHANICS KINEMATICS = mathematics description of motion DYNAMICS = causes of motion Translation 3 types of motion = Rotational Vibrational Start with Translational Describing motion how does position change in time Position (x , y, z) Time (t) Point (which point of an object do we use?) Basically, we will treat objects as being points (if you prefer you can think about a point in the center) (More on why we can do this later) Note: It doesn’t matter what the object is Start with a simple case - 1 dimensional motion x = current position (at time t) x 0 = position at t = 0 ... ... ) ( 3 3 2 2 1 0 3 3 2 2 1 0 0 + + + + = + + + + = = = t c t c t c x t c t c t c c t c t x n n n Displacement Δx = x - x 0 Time Elapsed nt Displaceme Velocity Average = i f i f t t x x t x v - - = = Average velocity is independent of the path taken (only the end points p f and p i ) The average velocity is the slope of the line connecting these two points. Nascar = average speed ≈ 200 mph Average velocity = 0 Instantaneous velocity dt dx t x v t = = 0 lim = dt t v t x ) ( ) ( IνI = instantaneous speed Instantaneous velocity may be positive or negative …
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1443 Lecture 3 - 1443 Lecture 3 CHAPTER 2 MECHANICS...

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