ME 3133 Chapter : Lect 04 Curvilinear Kin Polar BLANKS 2PP
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01/22/15: read ahead meriam & kraige: 2. 1-2. 6 constrained motion, practice prob #04 2. 151+ , 157, 160 [163] Practice quiz #1 today= covers thru wednesday. : drop w/o w" & grade exclusion led: topics for the day. Curvilinear kinematics: coordinate expressions for: pos <=> vel <=> accel. Polar (cylindrical/polar: conversion between coordinate systems. Vectors are your friend: more example problem(s) 2d curvilinear motion summary: position r(t) = x(t)i + y(t)j path, velocity v(t) = r (t) = x i + y j. = vet = s et: acceleration a(t) = v (t) = r (t) = x i + y j. = v et + v2 en: time derivative vector (unit ) v(t ) p a(t ) r(t) en i et j. Curvilinear motion: cylindrical/polar coordinates: cylindrical/polar coordinates v(t) a(t) e k. Differentiate dr/dt for velocity v(t) = v(t ) a(t ) er. Differentiate again => dv/dt for acceleration a(t) = Special case: circular motion,o @ center!! v(t) = a(t) =
