A slider moves in the horizontal plane under the action of the harmonic forcing F(t) = F0...

A slider moves in the horizontal plane under the action of the harmonic forcing F(t) = F0 sin ω0 t. The slider is connected to two identical linear springs, each of which has constant k. When t = 0, x(0) = 0, the springs are unstretched, θ = 45°, and L = L0. The slider is also connected to a damper with damping coefficient c. Treating F0, k, c, and L0 as known quantities, neglecting friction, and letting = vi , (a) derive the equations of motion of the system, (b) derive the linearized equations of motion about the initial position, and (c) determine the amplitude of the steady-state vibrations for the linearized equations of motion.

Figure P9.61