A construction site worker knocks the board off the support beams, it falls straight down onto a 2.00 m diameter spinning disk (m = 7.15 kg). The board lands with its center of mass directly on top of the center of rotation of the disk. The two objects turn together around their common axis of rotation. If the disk was initially spinning at 3.40 rev/s and you neglect friction, what is the angular speed in rev/s of the combination? (The moment of inertia of a uniform disk rotating at its center is ½ MR2. The moment of inertia of a uniform board rotating at its center is , where b is the length of the board and a is the width. The mass and length are given in problem 3. The width is 0.305 m.)
