Figure 9.46 shows a rotating system in which the shaft is supported in bearings at \(A\) and \(B\). The three masses \(m_{1}, m_{2}\), and \(m_{3}\) are connected to the shaft as indicated in the figure.

(a) Find the bearing reactions at \(A\) and \(B\) if the speed of the shaft is \(1000 \mathrm{rpm}\).

(b) Determine the locations and magnitudes of the balancing masses to be placed at a radius of \(0.25 \mathrm{~m}\) in the planes \(L\) and \(R\), which can be assumed to pass through the bearings \(A\) and \(B\).

Transcribed Image Text:

m = 50 g 13-6 cm R - 8 cml 30% 2-5 cm i B m3-40 g x /m2-20 g. 20 30 40 cm cm cm 250 20 FIGURE 9.46 Balancing of a rotating system.