Suppose a 96-Lb Object Stretches a Spring 4 Feet While

Short Answer

Suppose a 96-lb object stretches a spring 4 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.For what values of the damping constant c is the motion critically damped? Round your answer to the nearest tenth.
c = ________ lb∙sec per foot