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Kreijstal/llmbenchmarks.txt

Created March 4, 2024 15:43
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trying to make my own test set to check how good llms are
Raw
llmbenchmarks.txt
q:
```
The motion of a robot with a single prismatic joint can be modeled as: mq̈ + bq̇ + kq = f,
which depends on mass m = 2, stiffness k = 4, and friction b = 4.
We want to set the control force f = -kpx - kvẋ so that the controlled system is critically damped and has a closed-loop stiffness of k' = 8.
(Hint: a natural system is critically damped when b = 2√(mk.))
How do you choose the values of kp and kv?
```
a: kp=4 kv=4
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