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.

the first american roller coaster was the mauch chunk switchback railway, built in the mountains of pennsylvania in the mid-1800s. the track, originally built to send coal to a railway, was reconfigured as a "scenic tour."

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.

the duration of a photographic flash is related to an rc time constant, which is 0.100 μs for a certain camera.