4.11 Compute the natural frequencies and mode shapes of the following system: []*(t) + 10 [₂7]x(t) = 0 -2 - Calculate the response of the system to the initial conditions: Xo = [1 2] and vo [√20-2√201¹

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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.