Problem 3 on critical speeds of shaft, damped vertical shaft with single rotor

Solve Problem on damped vertical shaft with single rotor.


A horizontal shaft of 10 mm diameter is simply supported at both ends by bearings. A rotor of mass 5 kg is attached at middle of the horizontal shaft. The span between two bearings is 500 mm. The centre gravity of rotor is 2.5 mm offset from geometric centre of the rotor. The equivalent viscous damping at the centre of rotor shaft may be taken as 52 Ns/m . Find the deflection of the shaft and critical speed of the shaft.
Assume E= 200×10^9 N/m^2
speed of the shaft= 720 rpm



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