Activity 3: A spring-mass-damper system has the following equilibrium equation: d²y dy + 3+ 40y = 0 , t>0 dt 4 dt2 where y(t) = displacement in meters, and t = time in seconds. Determine the generol solution o

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

I need solve (a) and (b) , (c) and (f)

Activity 3:
A spring-mass-damper system has the following equilibrium equation:
d²y
dy
+ 3-
dt2
4
+ 40y = 0 , t>0
dt
where y(t) = displacement in meters, and t = time in seconds.
a) Determine the general solution of y(t).
b) Assuming y(0)
c)
O and y' (0) = 1, determine the particular solution of y(t).
Use Laplace transform to solve the given differential equation
d) Comment on how
e) Build a Simulink block model suitable for generating the results of the DE. Show the model
and the
your mathematical solution behaves in transient and steady state regions.
sults in your report and specify the transient and steady state regions. Make sure you
submit the simulation file (properly named).
f)
Assuming that the right hand side of the given equilibrium equation is changed from 0 to 5,
repeat parts ( a,b,c
Transcribed Image Text:Activity 3: A spring-mass-damper system has the following equilibrium equation: d²y dy + 3- dt2 4 + 40y = 0 , t>0 dt where y(t) = displacement in meters, and t = time in seconds. a) Determine the general solution of y(t). b) Assuming y(0) c) O and y' (0) = 1, determine the particular solution of y(t). Use Laplace transform to solve the given differential equation d) Comment on how e) Build a Simulink block model suitable for generating the results of the DE. Show the model and the your mathematical solution behaves in transient and steady state regions. sults in your report and specify the transient and steady state regions. Make sure you submit the simulation file (properly named). f) Assuming that the right hand side of the given equilibrium equation is changed from 0 to 5, repeat parts ( a,b,c
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,