Problem 3: Textbook Problem 5.11; Assume x₁ = x2 = 0 = 0 when springs are undeformed. Note: 1) This is a 2-

DOF system as and can be eliminated; 2) For part-b, you have to find a single differential equation in x₁ (i.e.,

output) and input, fa(t). You cannot have x2 and terms in your answer. You'll end up with a 4th order input-

output equation in X₁ and 0.

5.11. For the system shown in Figure P5.11, the input is the force fa(t), and the output is

x₁. Assume that the lever is ideal and that is small.

a. Select a suitable set of state variables and write the corresponding state-variable

model.

b. Find the input-output differential equation when a = 2 and b = K₁ = K₂ = B =

M₁ = M₂ = 1 in a consistent set of units.

x1

wwwwwwwwww

777

M₁

B

-fa(t)

K₂

Lo

voo

M₂

Figure P5.11