A machine of mass m=500 kg is mounted on a simply supported steel beam of length l=2 m having a rectangular cross section (depth: 0.1 m, and Young's modules E=2.06x1011 N/m2. Find the natural frequency of transverse vibration. width:1.2 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.