Three shafts and four gears are used to form a gear train

Chapter 3, Problem 3.74

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Three shafts and four gears are used to form a gear train that will transmit power from the motor at A to a machine tool at F. (Bearings for the shafts are omitted in the sketch.) The diameter of each shaft is as follows: \(d_{A B}=16 \mathrm{~mm}, d_{C D}=20 \mathrm{~mm}, d_{E F}=28 \mathrm{~mm}\). Knowing that the frequency of the motor is 24 Hz and that the allowable shearing stress for each shaft is 75 MPa, determine the maximum power that can be transmitted.

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