Problem 2

A point mass moves according to the trajectory described in the polar coordinate system bytheequationr=kwithk=1.6m/rad. Attimet=0,thepointmassisinthe origin of the reference system and its velocity is v0 = 0.8 m/s. The radial (or normal) component of the velocity during the motion is constant. Determine:

(a) the equation of motion for r(t) and (t) in the polar coordinate system

(b) the magnitude of the velocity v(t)

(c) the equation of motion for the trajectory and velocity in cartesian coordinates (x(t), y(t), vx(t) and vy(t))