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Shaft Balancing Revision help -Mechanics


I was wondering if someone could help me with a question that I have as part of my revision on Shaft balancing.

Question: A uniform shaft, length L, is supported in bearings at its ends. Connections to a machine are modelled as point masses, m, located at distances L/3 and 2L/3 along the shaft axis and 'a' radially from that axis, at relative orientations of 0 and 90 degrees respectively when looking along the shaft. Ignoring shaft weight, determine the
transverse forces on each bearing when the shaft rotates at a steady speed .
Note: consider a vectorial solution with 2 components orthogonal to the shaft axis. You will need to develop expressions for force and moment equilibrium.

Thanks for the help.

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