k k F '2 Two masses, m¡ and m2 are attached in series by two springs. A force, F is applied to the second mass. Each spring has spring constant, k. The position of each mass is described by x1 and x2, where Fspring 1 = -kx, and Fspring 2 = -k(x2 – x1) 1. write out the kinetic and potential energy in terms of x1 and x2 2. Use the Lagrange equations to write out two coupled ordinary differential equations here, the force F does virtual work, F8x2
k k F '2 Two masses, m¡ and m2 are attached in series by two springs. A force, F is applied to the second mass. Each spring has spring constant, k. The position of each mass is described by x1 and x2, where Fspring 1 = -kx, and Fspring 2 = -k(x2 – x1) 1. write out the kinetic and potential energy in terms of x1 and x2 2. Use the Lagrange equations to write out two coupled ordinary differential equations here, the force F does virtual work, F8x2
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![k
k
F
Two masses, m¡ and m2 are attached in series by two springs. A force, F is applied to
the second mass. Each spring has spring constant, k. The position of each mass is
described by x1 and x2, where Fspring 1 = -kx1 and Fspring 2 = -k(x2 – x1)
1. write out the kinetic and potential energy in terms of x1 and x2
2. Use the Lagrange equations to write out two coupled ordinary differential equations
here, the force F does virtual work, F8x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43affc8f-d245-42ae-95fb-e0cd1155c646%2Fbc982401-9b17-4309-a071-28d097527fe2%2F6h59c3_processed.png&w=3840&q=75)
Transcribed Image Text:k
k
F
Two masses, m¡ and m2 are attached in series by two springs. A force, F is applied to
the second mass. Each spring has spring constant, k. The position of each mass is
described by x1 and x2, where Fspring 1 = -kx1 and Fspring 2 = -k(x2 – x1)
1. write out the kinetic and potential energy in terms of x1 and x2
2. Use the Lagrange equations to write out two coupled ordinary differential equations
here, the force F does virtual work, F8x2
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