Chapter 6, Problem 6.2P

A point is at a 6.5 in radius on a body in pure rotation with $\omega =100$ rad/sec. The rota- lion center is at the origin of a coordinate system. When the point is at position A. its position vector makes a 45° angle with the X axis. At position B. its position vector makes a 75° angle with the X axis. Draw this system to sonic convenient scale and:
a. Write an expression for the particle’s velocity vector in position A using complex number notation, in both polar and cartesian forms.
b. Write an expression for the particle’s velocity vector in position B using complex number notation, in both polar and cartesian forms.
c. Write a vector equation for the velocity difference between points B and 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.