Please answer: How many degrees of freedom are in the system Write out the equations of morion in matrix form  & Find the natural frequencies Given:  k = 10 N/m; r = 0.5 m; I1 = 1.25 kg*m2 ; I2 = 1.2 kg*m2; m = 1 kg

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A: Step 1: Step 2: Step 3: Step 4:

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Q: - Fourier Series

A: Solution shown below

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Q: (Torque applied)

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Q: m

A:

Q: 4. Consider the following system 0 3 -1 [ 1 ¦ ] * ) + [ ³ } } } ] × 0) = 0 4 where M is in [kg] and…

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,