Discussion
A drive whose load torque falls with speed while its motor torque rises with speed is
Answer: C
Correct answer: unstable at their intersection
Stability requires \( dT_l/d\omega - dT/d\omega > 0 \). Here the motor torque rises with speed, so \( dT/d\omega > 0 \), and the load torque falls, so \( dT_l/d\omega < 0 \); the difference is negative on both counts and the criterion is violated twice over. A small increase in speed leaves the motor torque higher and the load torque lower, so the drive runs away from the intersection rather than back to it.
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