Question: Question 2 ( 2 0 + 5 ) : ( a ) A machine part is modeled as a pendulum connected to a spring as

Question 2(20+5): (a) A machine part is modeled as a pendulum connected to a spring as
illustrated in the following figure. Derive the equation of motion of the system using
Lagrange's energy method. Ignore the mass or the pendulum's rod and assume small angle of
deflection.
(b) Calculate the natural frequency of oscillation, n
Question 2 ( 2 0 + 5 ) : ( a ) A machine part is

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