Applications of Second Order Equations-Springs Damped: Problem 3

(1 point)

A 320 pound object is suspended from a spring. The spring stretches an extra 320 inches with the weight attached. The spring-and-mass system is then submerged in a viscous fluid that exerts 4

pounds of force when the mass has velocity 2 ft/sec.

What is the differential equation for this spring-and-mass system? (Use u as the dependent variable.)

This system is ?

For what value of y would the system be critically damped?

(if the given system is already critically damped, enter the given value for y.)