MecMovies 4.0 : M6.13: Two Shafts Connected by Gears

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Diagram shows two shafts A B and C D of 35 millimeter diameter and 300 millimeter and 900 millimeter respectively, are connected using two gears, B with 100 millimeter diameter and C with 200 millimeter diameter. A torque T is applied at the end of C D at D. Parameters: d = 35 millimeter, G = 80 gega Pascal, T = 685 Newton meter.

Calculate the polar moment of inertia for a $35 - mm$ diameter shaft:

$J = \frac{π}{32} d^{4} = \frac{π}{32} {(35 mm)}^{4} = 147, 324 {mm}^{4}$