Suppose a 96-Lb Object Stretches a Spring 12 Feet While

Short Answer

Suppose a 96-lb object stretches a spring 12 feet while in equilibrium and a dashpot provides a damping force of c libs for every foot per second of velocity. The equation of unforced motion of the object in such a spring-mass system is where m is the mass of the object, c is the damping constant, and k is the spring constant.
Determine the value of the constants m and k. (Use 1 slug = 32 lbs.)