Serway & Jewett — Rotation of a Rigid Object about a Fixed Axis: Problem 18

A disk having moment of inertia \(100\text{ kg} \cdot \text{m}^2\) is free to rotate without friction, starting from rest, about a fixed axis through its center. A tangential force whose magnitude can range from \(F = 0\) to \(F = 50.0\text{ N}\) can be applied at any distance ranging from \(R = 0\) to \(R = 3.00\text{ m}\) from the axis of rotation. (a) Find a pair of values of \(F\) and \(R\) that cause the disk to complete \(2.00\text{ rev}\) in \(10.0\text{ s}\). (b) Is your answer for part (a) a unique answer? How many answers exist?