For the geared system discussed in Problem 3 23, shown in Figure, the inertias are given in kg m2 as I1 10 3 I2 3 84 x 10 3 I3 0 0148 I4 0 03 I5 0 15 The speed ratios are Iuml 1 Iuml 2 Iuml 2 Iuml 3 1 6 Derive the system model in terms of the speed Iuml 3, with the applied torque T as the input The...

The total kinetic energy is KE 12 I 4 I 1 w 2 1 12 I 2 w 2 2 12 I 3 I 5 w 2 3 Substit ...

For the geared system discussed in Problem 3.23, shown in Figure, the inertias are given in kg-m2

Question:

For the geared system discussed in Problem 3.23, shown in Figure, the inertias are given in kg-m2 as
I1 = 10-3
I2 = 3.84 x 10-3
I3 = 0.0148
I4 = 0.03
I5 = 0.15
The speed ratios are
Ï‰1/ Ï‰2 = Ï‰2/ Ï‰3 = 1.6
Derive the system model in terms of the speed Ï‰3, with the applied torque T as the input. The shaft inertias are negligible.