ME 2320 Lecture Notes - Lecture 26: Vector Projection, Prentice Hall, Cylindrical Coordinate System
Document Summary
Review of midterm exam; chapters 13: 13. 4 curvilinear motion cartesian. Portions of these lecture notes are taken from those of prof. jeff thomas. Recall that we described a general motion along a curved path (curvilinear motion) through space through the position vector r t . In terms of a reference frame with an associated cartesian coordinate system2, we have r t x t i y t j z t k. As compared to straight-line motion, we now have up to three scalar quantities to consider (2 for 2d). A key feature is that (like equilibrium) the motion along one axis is independent of the motion along the other axes. 2 in section 13. 7, the book covers polar and cylindrical coordinates. Velocity and acceleration are again obtained by differentiating, where differentiating a vector simply means differentiating each scalar component: v t dr t dt dx t dt i dy t dt j dz t k dt.
