A dc shunt motor has a speed-torque equation given by ω=60-12Tm. The motor starts with a load whose torque is given by TL=0.1ω2.(Take J=1.5kg-m2). i. Can the motor start with the load? Why? ii....

A dc shunt motor has a speed-torque equation given by ω=60-12Tm. The motor starts
with a load whose torque is given by TL=0.1ω2.(Take J=1.5kg-m2).
i. Can the motor start with the load? Why?
ii. Determine the final steady state speed. Is the operating point stable?
iii. By linearizing equation of motion, obtain the speed transient ω(t) and the torque
transient Tm(t)