A shaft 60 mm diameter and 4 m long is simply supported at both ends and carries three vertically downwards point-loads of magnitudes 900 N, 1000 N, and 850 N located at 1 m, 2 m, and 3 m from the left support, respectively. The Young's modulus for shaft material is 110 GN/m2. 3.1. Provide the diagram of the position of supports and loads on the shaft 3.2. Calculate the natural frequency of transverse vibration of the shaft

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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.