the system is in static balance: (a) Group the required information in an appropriate table and construct the force polygon of the rotating system. (b) Determine the angles A and C which ensure the shaft is in static balance. (c) Construct the moment polygon for the rotating system and determine the out-of-balance moment when the shaft rotates at ω=100rev/min.
A shaft is rotating as part of an aircraft compressor. A disc is located midway
along the rigid shaft that is L=1.8m long in total as shown in Fig. Q4. The disc
also lies midway between two supporting bearings that are LB=1.4m apart. The
disc has a mass of MB=100kg and the centre of mass of the disc is located
rB=12mm from the axis of the shaft. A mass is added at each end of the shaft.
The first has mass MA=40kg and eccentricity rA=37.5mm, whilst the second has
mass MC=30kg and eccentricity rC=40mm.
If the system is in static balance:
(a) Group the required information in an appropriate table and construct the
force polygon of the rotating system.
(b) Determine the angles A and C which ensure the shaft is in static
balance.
(c) Construct the moment polygon for the rotating system and determine the out-of-balance moment when the shaft rotates at ω=100rev/min.
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