Suppose a 160-Lb Object Stretches a Spring 12 Feet While

Short Answer

Suppose a 160-lb object stretches a spring 12 feet while in equilibrium, and a dashpot provides a damping force of 5 lbs for every foot per second of velocity. The form of 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. Assume that the spring starts at a height of 1/2 feet below the horizontal with an upward velocity of - 3/2 feet per second.
What is the quasi-frequency? Provide the exact values, not a decimal approximation.