Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 59

59 Figure 11-47 is an overhead view of a spring lying on a frictionless surface and attached to a pivot at its right end. The spring has a relaxed length of \(l_0 = 1.00\text{ m}\) and negligible mass. A small \(0.100\text{ kg}\) disk is attached to the free end at the left. That disk is then given a velocity \(\vec{v}_0\) of magnitude \(11.0\text{ m/s}\) perpendicular to the spring’s length. The disk and spring then move around the pivot. (a) When the stretching of the spring reaches its maximum value of \(0.100l_0\), what is the speed of the disk? (b) What is the spring constant?