W2.4 - January 11, 2008 Physics for...

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Unformatted text preview: January 11, 2008 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Spring Semester 2008 Lecture 8 January 11, 2008 Physics for Scientists&Engineers 1 2 Motion in 1 Dimension Motion in 1 Dimension First case: simple linear motion Special case 1: motion with 0 acceleration Special case 2: motion with constant acceleration 2a: Free fall with a=-g Other cases for later: 1) Circular motion Motion in a 2-dimensional plane 2D motion reducible to 1D motion by introducing new set of coordinates in the plane (polar coordinates). 2) Oscillations of an object attached to a spring Motion due to force that is proportional to displacement = Restoring force January 11, 2008 Physics for Scientists&Engineers 1 3 Coordinate System Coordinate System In general, we use a 3-dimensional Cartesian coordinate system, with x-, y-, and z-axis Coordinate system has to be Orthogonal: 90 angles between each pair of axes Right-handed January 11, 2008 Physics for Scientists&Engineers 1 3 Coordinate System Coordinate System In general, we use a 3-dimensional Cartesian coordinate system, with x-, y-, and z-axis Coordinate system has to be Orthogonal: 90 angles between each pair of axes Right-handed January 11, 2008 Physics for Scientists&Engineers 1 4 Working in Components Working in Components Position vector Velocity vector Acceleration vector !...
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W2.4 - January 11, 2008 Physics for...

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