Differential equation/ spring application

[Punchlinegirl]

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?

 

[Andrew Mason]

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?

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"

AM

 

[HallsofIvy]

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?