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Physics

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  • $\begingroup$ There's not enough information as to what you want in the question. What is $\tau$ for example? $\endgroup$
    – mike stone
    Commented Feb 9, 2023 at 22:45
  • 1
    $\begingroup$ You cannot coordinatize a three dimensional vector space like $\mathbb{R}^3$ via three angles (unless there is some auxiliary information you haven't provided, like angles of what...). You need some units of length somewhere and angles are dimensionless. Please clarify what do the three angles represent, then perhaps someone can help you $\endgroup$
    – Amit
    Commented Feb 9, 2023 at 22:57
  • $\begingroup$ @Amit These are angles of rotation in 3D, so roll, pitch and yaw. I was thinking of my 3D space being in terms of these angles, because the torque $\tau$ is $\frac{dU}{d\theta}$ in 1D, so I extended this to 3D. $\endgroup$
    – Stack Exchanger
    Commented Feb 9, 2023 at 23:09
  • $\begingroup$ @mikestone $\tau$ is the torque on an object that causes it to roll, pitch and yaw in 3D. $\endgroup$
    – Stack Exchanger
    Commented Feb 9, 2023 at 23:10
  • $\begingroup$ I'm not sure that makes sense, since it seems clear to me that there isn't a unique torque that can generate a specific rotation. And if you're looking for just any torque, that's a different matter. Maybe I'm wrong about this... $\endgroup$
    – Amit
    Commented Feb 9, 2023 at 23:14