HW03Solution

HW03Solution - 2-14Pole A whose coordinates are 20°N 50°E...

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Unformatted text preview: 2-14Pole A, whose coordinates are 20°N, 50°E, is to be rotated about the axes described below. In each case, find the coordinates of the final position of pole A and show the path traced out during its rotation.a) 100° rotation about the NS axis, counterclockwise looking from N to S.b) 60° rotation about an axis normal to the plane of projection, clockwise to the observer.c) 60° rotation about an inclined axis B, whose coordinates are 10°S, 30°W, clockwise to the observer.Solutiona) This rotation of 100° causes pole A to rotate into the lower hemisphere of the projection sphere after 40°, so its “negative” pole reappears to complete the remaining 60°, as shown below. Final location: 20°S, 30°W.AA’PROBLEM 2-14B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rdEd., Prentice Hall, (2001)MSE 104 Materials CharacterizationProfessor R. Gronskypage 1 of 3b) This rotation of 60° is simply done by spinning about a pin through the center, shown below. Final location: 27°S, 48°E.AA’60°PROBLEM 2-14B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rdEd., Prentice Hall, (2001)MSE 104 Materials CharacterizationProfessor R. Gronskyb) This rotation of 60° is simply done by spinning about a pin through the center, shown below. Final location: 27°S, 48°E.AA’60°PROBLEM 2-14B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rdEd., Prentice Hall, (2001)MSE 104 Materials CharacterizationProfessor R. Gronskypage 2 of 3c) Rotation about an inclined axis requires that the rotation axis be moved into a useful orientation. That makes this solution a three-step procedure....
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This note was uploaded on 04/07/2008 for the course MSE 104 taught by Professor Gronsky during the Spring '08 term at Berkeley.

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HW03Solution - 2-14Pole A whose coordinates are 20°N 50°E...

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