A uniform disk of radius R = 2.4 m and mass 3.0 kg is rotating initially at 38 rad/s around a fixed axis that passes through the center of the disk and is perpendicular to the circular plane of the disk. A force, F = 23 N, is then applied perpendicularly to the circular plane of the disk at a distance r = 1.7 m from the axis of rotation. The disk is brought to rest in 15 s with a constant angular acceleration. The moment of inertia of a solid disk is ½mr².
a) Find the kinetic coefficient of friction between the applied force and the circular plane of the disk.
b) Through what linear distance has the point where the force F was applied traveled during this time?