Question

An engine with linear torque-(speed) characteristic and rated data 12 hp, 1800 rpm, serves two load types with characteristic torque a) and b) and a transmission gearbox c) as shown below in the photo:

a) TL-8.0#0L, b) TL-00018" ωし

Assuming that for a rated voltage operation the starting torque is Ts=80 Nm.
1) Find the point of operation in the permanent state for both types of loads as well as stability using only the relationships of derivatives (slopes)

2) If the torque-inertia of the engine is 1.5 sec , which is in Kgm^2 ?