A small object with mass m = kg moves counterclockwise with constant angular speed w = rad/s in a circle of radius r = m centered at the origin. It starts at the point with position vector ri = i^ m. It then undergoes an angular displacement of th = rad.
(a) What is its new position vector? Use unit-vector notation for all vector answers.
(b) In what quadrant is the particle located, and what angle does its position vector make with the positive x axis?
(c) What is its velocity?
(d) In what direction is it moving?
(e) What is its acceleration?
(f) Make a sketch of its position, velocity, and acceleration vectors.
(g) What total force is exerted on the object?