RelativeResourceManager1 - Special Coordinates:...

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Unformatted text preview: Special Coordinates: Rectangular, cylindrical, intrinsic TAM 212 Lecture Notes Section 1.5-1.7 R. B. Haber (based on notes by D. E. Carlson) 1 Rectangular Cartesian coordinates F r OP r OP ( t ) = x ( t ) i + y ( t ) j + z ( t ) k v P = r OP ( t ) = x ( t ) i + y ( t ) j + z ( t ) k a P = v P ( t ) = x ( t ) i + y ( t ) j + z ( t ) k x y O P (Suppress notation referring to F .) 2 Cylindrical coordinates (Suppress notation referring to F .) F r OP x y O P e r e e r e e 3 = k r x y r e r e Top view e r = cos i + sin j e =- sin i + cos j e r = (- sin i + cos j ) = e e =- (cos i + sin j ) =- e r r OP = r e r + z k v P = r OP = r e r + r e r + z k = r e r + r e + z k a P = v P ( t ) = r e r + r e r + r e + r...
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This note was uploaded on 02/22/2010 for the course TAM 212 taught by Professor Keane during the Spring '08 term at University of Illinois at Urbana–Champaign.

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RelativeResourceManager1 - Special Coordinates:...

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