Analyzing a Spring-Mass-Damper System: Is the System Oscillating?

[reuben19]

Homework Statement

A spring-mass-damper system has a mass of 150 kg, a stiffness of 1500 N/m, and a damping coefficient of 200 kg/s.

Homework Equations

(a) Calculate the undamped natural frequency, the damping ratio, and the damped natural frequency.
(b) Is the system overdamped, underdamped or critically damped?
(c) Does the system oscillate?

The Attempt at a Solution

I've tried to source out the appropriate equations and relationships to find the unknowns, but I end up dealing with thing that aren't related to the actual concept of a vibrating mass system. Your help would be greatly appreciated! :)

 

[SammyS]

Homework Statement

A spring-mass-damper system has a mass of 150 kg, a stiffness of 1500 N/m, and a damping coefficient of 200 kg/s.

Homework Equations

(a) Calculate the undamped natural frequency, the damping ratio, and the damped natural frequency.
(b) Is the system overdamped, underdamped or critically damped?
(c) Does the system oscillate?

The Attempt at a Solution

I've tried to source out the appropriate equations and relationships to find the unknowns, but I end up dealing with thing that aren't related to the actual concept of a vibrating mass system. Your help would be greatly appreciated! :)

Hello reuben19. Welcome to PF !

According to the rules of this Forum, you must show an attempt at a solution, before we can help you.

Can you do part (a) ?

 

[reuben19]

Hi SammyS!

I just had another look around for the appropraite methods in relation to my question, and have figured out how to calculate the damping ratio:

Ratio = damping coefficient/(2√km)

= 200/(2√(1500×150))

= 0.21

In regards to the other sections, I'm afraid I'm still at a loss in terms of finding out the right methods :/

 

[SammyS]

Hi SammyS!

I just had another look around for the appropraite methods in relation to my question, and have figured out how to calculate the damping ratio:

Ratio = damping coefficient/(2√km)

= 200/(2√(1500×150))

= 0.21

In regards to the other sections, I'm afraid I'm still at a loss in terms of finding out the right methods :/

Can you calculate the frequency if there's no damping factor ?

 

[reuben19]

Yeah I'm pretty sure you can. It's just a matter of finding out how to incorporate it into the calculations.