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Differential Equations : Equations of Motion, Laplace Transforms and Transfer Functions

Refer to figure 2 in attachment.
a) Write the equations of motion for the mechanical system.****PLEASE SHOW YOUR FREE-BODY FOR EACH MASS****THANKS

B) Take the Laplace transform of these equations, arrange them in matrix form, solve for the displacement x2(t), and find the transfer function T(s)= X1(s)/F(s)

C) Using the concept of the transfer function, find X1(t) if f(t) = 4u(t) N.

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Equations of Motion, Laplace Transforms and Transfer Functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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