An object of mass m slides on a horizontal platform. the platform rotates at a counterclockwise rate w around a vertical axis. the object suffers linear drag f = -2myū, where ū is the velocity relative to the platform, with 7 > 0. this is the system discussed in the lecture notes, with the addition of a true force: linear drag.

a) find the coupled linear differential equations governing c(t) and y(t). define the complex dynamical coordinate (t) = x(t) + iy(t), and derive a single complex linear differential equation that governs v. you should get į =w2v – 271 - 2iwi (1)

b) seek solutions in the form v = vest and solve for the two roots s.