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 = -2mγū, where v is the velocity relative to the platform, with γ > 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 x(t) and y(t). define the complex dynamical coordinate ψ(t) = x(t) + iy(t), and derive a single complex linear differential equation that governs . you should get ψ =w2 ψ-2γ ψ - 2iwψ seek solutions in the form = 1.est and solve for the two roots s.