Find the equivalent mass moment of inertia of the gear train shown in Fig. 1.97 with reference to the driving shaft. In Fig. 1.97, \(J_{i}\) and \(n_{i}\) denote the mass moment of inertia and the number of teeth, respectively, of gear \(i, i=1,2, \ldots, 2 N\).

Transcribed Image Text:

Driving Motor, Jmotor Shaft 1 1. n Shaft 2 12. m 2 3 J3, 13 Shaft N Shaft 3. Ja, na 4 Gear 2N 1 J2N-1-2N-1 FIGURE 1.97 A gear train with 2N gears. Gear 2N J2N. 2N Shaft N+1 Load. Jload