Two identical circular thin disks of mass m and radius r are linked together by spring k2. Other spring is ki shown in Fig.4. Derive the equations of motion for a small oscillation and determine the natural frequencies. Take k₁=10000 N/m, k2= 3000 N/m, m=10 kg and r-2 m. k₁ 0000 m Fig.4 k₂ -rooo Ө O

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.