Repeat Example 5.19, and determine a mathematical model for the simple one-degree-of-freedom system shown in Figure 5.96a in the form of a differential equation of motion in \(\theta_{2}\).

Data From Example 5.19:
For the gear–train system shown in Figure 5.96a, derive the differential equation of motion. The mass moments of inertia of the two gears about their respective fixed centers are IC1 and IC2.

Transcribed Image Text:

1 (a) 12.12 FIGURE 5.96 A gear-train system: (a) physical system and (b) free-body diagram.