The discussion centers on determining the damping coefficient γ for a system involving a mass of 8 lb and a spring that stretches 1.5 inches. The goal is to find the value of γ that achieves critical damping in the context of damped simple harmonic motion. Participants emphasize the importance of understanding the general solution to the differential equation governing this system, specifically referencing the standard equation for a spring-damper system.
PREREQUISITESStudents and professionals in mechanical engineering, physics, and applied mathematics who are working with dynamic systems involving springs and dampers.
You have to review your text on the general solution to the differential equation for damped simple harmonic motion. There is a good explanation http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html#c1"Punchlinegirl said:A mass weighing 8 lb stretches a spring 1.5 in. The mass is also attached to a damper with coefficient γ . Determine the value of γ for which the system is critically damped; be sure to give units for γ .
I have no idea where to start. Can someone help me out?
The fact that "A mass weighing 8 lb stretches a spring 1.5 in." tells you the spring constant. What is the standard differential equation for a spring with damper?Punchlinegirl said:A mass weighing 8 lb stretches a spring 1.5 in. The mass is also attached to a damper with coefficient γ . Determine the value of γ for which the system is critically damped; be sure to give units for γ .
I have no idea where to start. Can someone help me out?