A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force F(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) =

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
A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force F(t)=360sin(2t)F(t)=360sin(2t) . The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t)y(t) measured positive upwards.
A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force
F(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an
upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards.
y(t) =
Transcribed Image Text:A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force F(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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,