A motor with polar moment of inertia J develops torque according to the relationship T = a? + b. The motor drives a load defined by the torque–speed relationship TL = c?2 + d. If the four coefficients are all positive constants, determine the equilibrium speeds of the motor-load pair, and whether these speeds are stable.
Find:
Equilibrium speeds and their stability.
Assumptions:
All coefficients of torque-speed curve functions are positive constants.
Analysis:
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