We obtain the differential equation: mä + bi + kr = 0, as a model for a spring-mass-damper system with: In = 2, k = 18. a) Identify the damping constant b that gives rise to critical damping; b) If, instead, b= 24, approximately how long will it take for the the amplitude of free vibration to be reduced to within 2% of zero?
We obtain the differential equation: mä + bi + kr = 0, as a model for a spring-mass-damper system with: In = 2, k = 18. a) Identify the damping constant b that gives rise to critical damping; b) If, instead, b= 24, approximately how long will it take for the the amplitude of free vibration to be reduced to within 2% of zero?
Related questions
Question
![19
We obtain the differential equation:
mä + bi + kr = 0,
as a model for a spring-mass-damper system with:
2,
k = 18.
a) Identify the damping constant b that gives rise to critical damping;
b) If, instead, b= 24, approximately how long will it take for the the amplitude of free vibration
to be reduced to within 2% of zero?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3f36a34-63aa-4248-a9f5-25b55ced7093%2F5f1c64d0-e249-4d5e-8de0-a5a951bca8b1%2Fbeyi0i_processed.png&w=3840&q=75)
Transcribed Image Text:19
We obtain the differential equation:
mä + bi + kr = 0,
as a model for a spring-mass-damper system with:
2,
k = 18.
a) Identify the damping constant b that gives rise to critical damping;
b) If, instead, b= 24, approximately how long will it take for the the amplitude of free vibration
to be reduced to within 2% of zero?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)