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
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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
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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