3. (d) A system has output x and input y. Output varies with time and input y is given by 5 * (d ^ 2 * x)/(d * t ^ 2) + 20 * (dx)/(dt) + 12x = 13y (iii) Express the system output as a function of time. (ii) What is the damped angular frequency?

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?