Segway balance question (inverted pendulum)

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The discussion focuses on the mechanics of maintaining balance on a Segway while accelerating, particularly when considering a frictionless plane. Participants explore the role of gravity and inertial forces in balancing the rider, emphasizing that without friction, linear acceleration is impossible. The conversation also delves into deriving equations for acceleration, highlighting the importance of understanding the center of mass and the moment of inertia of the system. Participants suggest that the rider's leaning position affects the balance and acceleration equations. The thread concludes with a request for assistance in applying Newtonian physics to derive the acceleration.
  • #31
PS The other factors determine the power required by the engine.
 
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  • #32
Okay, I tried everything I could and failed. Can someone show me how the acceleration might be derived using Newtonian physics?
 

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