The system sketched in Figure 5.47 depicts two shafts coupled through meshing gears. Assume that gears 2 and 4 have gear ratio \(n=r_{2} / r_{4}\), and that external moment \(M(t)\) is applied to gear 1. Identify the constraint equation and the generalized coordinates, and derive the governing equation(s) of motion. Discuss how the value of \(n\) affects the resulting behavior.

Transcribed Image Text:

M(1) Figure 5.47: A gear-shaft system. 4