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Problem 4-2 A particle is traveling along an arc of 6.5-in radius. The arc center is at the origin of a global coordinate system. When the particle is at position A, its position vector makes a 45° angle with the X axis. At position B, its vector makes a 75° angle with the X axis. Draw this system to some convenient scale and: a. Write an expression for the particle's position vector in position A using complex number notation, in both polar and cartesian forms. b. Write an expression for the particle's position vector in position B using complex number notation, in both polar and cartesian forms. c. Write a vector equation for the position difference between points B and A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.

Problem 4-2 A particle is traveling along an arc of 6.5-in radius. The arc center is at the origin of a global coordinate system. When the particle is at position A, its position vector makes a 45° angle with the X axis. At position B, its vector makes a 75° angle with the X axis. Draw this system to some convenient scale and: a. Write an expression for the particle's position vector in position A using complex number notation, in both polar and cartesian forms. b. Write an expression for the particle's position vector in position B using complex number notation, in both polar and cartesian forms. c. Write a vector equation for the position difference between points B and A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Problem 4-2 A particle is traveling along an arc of 6.5-in radius. The arc center is at the origin of a global coordinate system. When the particle is at position A, its position vector makes a 45° angle with the X axis. At position B, its vector makes a 75° angle with the X axis. Draw this system to some convenient scale and: a. Write an expression for the particle's position vector in position A using complex number notation, in both polar and cartesian forms. b. Write an expression for the particle's position vector in position B using complex number notation, in both polar and cartesian forms. c. Write a vector equation for the position difference between points B and A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.
Transcribed Image Text:Problem 4-2 A particle is traveling along an arc of 6.5-in radius. The arc center is at the origin of a global coordinate system. When the particle is at position A, its position vector makes a 45° angle with the X axis. At position B, its vector makes a 75° angle with the X axis. Draw this system to some convenient scale and: a. Write an expression for the particle's position vector in position A using complex number notation, in both polar and cartesian forms. b. Write an expression for the particle's position vector in position B using complex number notation, in both polar and cartesian forms. c. Write a vector equation for the position difference between points B and A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.
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