What is the linearized natural frequency, Physics

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What is the linearized natural frequency

Response to the following problem:

Find the linearized equation of motion about the equilibrium position of the system illustrated in Figure P1.67. You don't have to solve for the equilibrium position itself-just show what you need to do to obtain it. The torsional spring is uncompressed when 6 = 0. What is the linearized natural frequency?

1013_equilibrium position of the system.jpg

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Physics: What is the linearized natural frequency

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