A particle is traveling along an arc of 6.5-in radius. The arc center is at the origin of a 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 position vector in position A using complex number notation, in both polar and cartesian fonns.
b. Write an expression for the particle position vector in position B using complex number notation, in both polar and cartesian fonns.
c. Write a vector equation for the position difference between points Band A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.
d. Check the result of part c with a graphical method.