The geared system shown in Figure P3 25 is similar to that used in some vehicle transmissions The speed ratios (which arc the ratios of the gear radii) are Iuml 2 Iuml 1 3 Iuml 3 Iuml 2 3 5 Iuml 4 Iuml 3 13 11 a Determine the overall speed ratio Iuml 4 Iuml 1 b Derive the equation of motion in term...

The geared system shown in Figure P3.25 is similar to that used in some vehicle transmissions. The

Question:

The geared system shown in Figure P3.25 is similar to that used in some vehicle transmissions. The speed ratios (which arc the ratios of the gear

radii) are
Ï‰2/Ï‰1 = 3
Ï‰3/Ï‰2 = 3/5
Ï‰4/Ï‰3 = 13/11
a. Determine the overall speed ratio Ï‰4/Ï‰1
b. Derive the equation of motion in terms of the velocity Ï‰4, with the torque T1 as the input. Neglect the inertias of the gears and the shafts.