Xmass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb-s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 3 in/s, find its position u at any time t. Assume the acceleration of gravity g U= U= u= u= U= u= 1 √7 1 -41 16√7 "cos4√√7t + 1 -41 -41 e 16√7 = 32 ft/s². e 'cos4 √7t √7 1 16√7 1 -41 e cos 4. 1 -41 e sin 4√7t $4√√īt 'sin4 √7t 1 √7 e -4¹ cos4√√7t+ sin 4√√7t 1 16√7 e-41 sin 4√√7t e
Xmass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb-s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 3 in/s, find its position u at any time t. Assume the acceleration of gravity g U= U= u= u= U= u= 1 √7 1 -41 16√7 "cos4√√7t + 1 -41 -41 e 16√7 = 32 ft/s². e 'cos4 √7t √7 1 16√7 1 -41 e cos 4. 1 -41 e sin 4√7t $4√√īt 'sin4 √7t 1 √7 e -4¹ cos4√√7t+ sin 4√√7t 1 16√7 e-41 sin 4√√7t e
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Need handwritten solution only.
Transcribed Image Text:Xmass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb - s/ft. If the
mass is set in motion from its equilibrium position with a downward velocity of 3 in/s, find its position u at any time t. Assume the
acceleration of gravity g =
= 32 ft/s².
u=
u=
u=
U=
₂-4 cos4√√7t +
√7
1 -41
e
16√
1
-41
1
16√7
1
16√7
'cos4 √7t
-41
sin 4√7t
e
1
√7
cos 4√7t
sin4 √7t
-41 cos4√√7t +
e
-41
e
1
16√7
in 4√√7t
-41
sin 4√√7t
Expert Solution
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 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
