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0915_chap13 - ME240Announcements CurvilinearMotion (13.7...

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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 (or Polar Coordinates) A radial‐transverse (polar) A radial transverse (polar) coordinatesystemisconvenientto usewhentheparticlemovesalonga curve that can be expressed in terms ofradial(r)andangular(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 Angle is measured counter clockwise 1 41 is measured counter clockwise Direction of unit vectors change with time
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Radial Transverse Coordinates Position: ˆ r re r Velocity: dr v ˆ ˆ dt dr d ˆ ˆ v e r e dt dt v re r e r θ ˆ ˆ v re r e r θ r θ Radial component Transverse component
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Radial Transverse Coordinates Acceleration: dv 2 2 2 a dt d r d d dr d
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