Recent content by GottfriedLenz

  1. GottfriedLenz

    Free body diagram for an inverted pendulum in the rolling sphere

    The original language is Russian. Thank you!
  2. GottfriedLenz

    Free body diagram for an inverted pendulum in the rolling sphere

    The motor is supposed to correct the perturbation and make the pendulum vertical. However, I’m a little bit confused with your words: Did you mean that in the latter it is not a control theory problem?
  3. GottfriedLenz

    Free body diagram for an inverted pendulum in the rolling sphere

    Thank you and sorry for the delay in responding. That’s right. Yes. I’m not sure that I’ve understood your question correctly. Taking back to the analogy with an inverted pendulum on a cart, the motor is needed to hold the pendulum in the vertical position. The equations of motions, which I...
  4. GottfriedLenz

    Free body diagram for an inverted pendulum in the rolling sphere

    Thank you! Unfortunately, the task is formulated not in English, so I can’t simply quote it. It's kind of an inverted pendulum on a cart problem. But only instead of a cart, the pendulum is attached to the motor shaft that is placed in the centre of the spherical enclosure. Consequently, by...
  5. GottfriedLenz

    Free body diagram for an inverted pendulum in the rolling sphere

    So, to obtain the motion equations I initially plotted the free-body diagram (see picture). Then I’ve tried to get equations, but I’m not sure, do I have done it rightl. I will be gratefull if someone could help me.
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