Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
i got sqrt(2)pi but it's incorrect need help finding y'(0) on part D.

i got sqrt(2)pi but it's incorrect need help finding y'(0) on part D.

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

i got sqrt(2)pi but it's incorrect need help finding y'(0) on part D.

The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t = 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (0.75, –3). (a) What is the period T of the periodic motion? T = 2 seconds (b) What is the frequency f in Hertz? What is the angular frequency w in radians / second? f = 1/2 Hertz W = 2pi/2 radians / second (c) Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form y(t) = A cos(wt – y), with y in meters. y(t) .03cos(2pi/2(t+2.25)) meters (d) With what initial displacement y(0) and initial velocity y'(0) was the system set into motion? y(0) .03cos(2pi/2(2.2: H meters y'(0) meters / second
Transcribed Image Text:The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t = 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (0.75, –3). (a) What is the period T of the periodic motion? T = 2 seconds (b) What is the frequency f in Hertz? What is the angular frequency w in radians / second? f = 1/2 Hertz W = 2pi/2 radians / second (c) Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form y(t) = A cos(wt – y), with y in meters. y(t) .03cos(2pi/2(t+2.25)) meters (d) With what initial displacement y(0) and initial velocity y'(0) was the system set into motion? y(0) .03cos(2pi/2(2.2: H meters y'(0) meters / second
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS