Question: Question 5 ( 2 0 points ) : Use Lagrange method to derive the equation of motion for an aircraft landing system illustrated in the

Question 5(20 points): Use Lagrange method to derive the equation of motion for an aircraft landing system illustrated in the following figure. Assume \( x=r \theta \).
(1) Derive the equation of motion of this system.
(2) Derive the damping ratio
(3) Derive the damped natural frequency
(4) Derive the natural frequency
Question 5 ( 2 0 points ) : Use Lagrange method

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