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10 Nov 2019
PSall.pdf (page 1 of 30) ï¹ Q Search 5. (a) i. Draw a sketch showing the origin, r and y axes, and an arbit ary point P ii. Add to the sketch i, j at P, as well as the r and θ coordinate curves intersecting at P. ii. Further, use the coordinate curves to add e and e at P to the sketch. (b) Now draw new sketches based on on the one above, and use trigonometry and the triangle law of vector addition in order to derive the following relationships between the unit polar basis fer, eo and the standard Cartesian basis fi,j ing se ject or Each equation derived should have it's own sketch and explanation of how you are de- riving the equations. (c) Let v i+j. Determine the components of v relative to the unit polar basis at the points with polar coordinates (1, Ï/4), (2.5m/6), (3,5n/3). Sketch the unit polar basis and v at cach of these points. 4
PSall.pdf (page 1 of 30) ï¹ Q Search 5. (a) i. Draw a sketch showing the origin, r and y axes, and an arbit ary point P ii. Add to the sketch i, j at P, as well as the r and θ coordinate curves intersecting at P. ii. Further, use the coordinate curves to add e and e at P to the sketch. (b) Now draw new sketches based on on the one above, and use trigonometry and the triangle law of vector addition in order to derive the following relationships between the unit polar basis fer, eo and the standard Cartesian basis fi,j ing se ject or Each equation derived should have it's own sketch and explanation of how you are de- riving the equations. (c) Let v i+j. Determine the components of v relative to the unit polar basis at the points with polar coordinates (1, Ï/4), (2.5m/6), (3,5n/3). Sketch the unit polar basis and v at cach of these points. 4
Casey DurganLv2
1 Oct 2019