z" + 33.64x = 4 cos(6t), x(0) = x'(0) = 0

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
Question
This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs.
Find the solution of the initial value problem:
r(t) =
z" + 33.64x = 4 cos(6t), x(0) = x'(0) = 0
Graph the solution to confirm the phenomenon of Beats. Note that you may have to use large window in order to see more than one beat.
What is the length of each beat?
Length =
Would you be able to explain why the beats phenomenon occurs for this particular example?
Transcribed Image Text:This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. Find the solution of the initial value problem: r(t) = z" + 33.64x = 4 cos(6t), x(0) = x'(0) = 0 Graph the solution to confirm the phenomenon of Beats. Note that you may have to use large window in order to see more than one beat. What is the length of each beat? Length = Would you be able to explain why the beats phenomenon occurs for this particular example?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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,