Consider the system shown in the figure below. If the coefficients a and b are a = 6 and b = 23, determine the ratio of displacements of of the second mode. Xx X2 k ат bm 1.00

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A: For the solution refer below images.

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Q: K3 3 3 तीतो M K2 K1

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Q: what is the equotion of motion and the natural frequency for the system shown in figure! m.

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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.