0915_chap13

0915_chap13 - ME240Announcements CurvilinearMotion

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ME 240 Announcements Curvilinear Motion Radial transverse components (13.7) Relative motion (13.8) Homework – due Friday 13.108, 13.113 Supplemental Problems 13.120, 13.127
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Radial Transverse Coordinates r Polar Coordinates) radial‐ ansverse (polar) (or Polar Coordinates) A radial transverse (polar) coordinate system is convenient to use when the particle moves along a rve that can be expressed in terms curve that can be expressed in terms of radial (r) and angular (θ) coordinates.
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Radial Transverse Coordinates Notes: e r : unit vector directed outward along line from origin e : unit vector perpendicular to line from origin ngle measured counter ockwise 1 41 Angle is measured counter clockwise Direction of unit vectors change with time
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Radial Transverse Coordinates Position: r e rr r elocity: dr Velocity: ˆ v dt dr d  ˆ ve r e dt dt r e r e r θ ˆˆ vr e r e r θ r θ Radial component Transverse component
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Radial Transverse Coordinates Acceleration: v
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0915_chap13 - ME240Announcements CurvilinearMotion

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