Torque of Particle (Q6674592)

equation expressing the torque on a particle

Language	Label	Description	Also known as
English	Torque of Particle	equation expressing the torque on a particle

Statements

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\begin{matrix} 𝑻_{i} & = (𝒙_{a_{i j}} - 𝒙_{i}) \times 𝑭_{i j}^{T} \\ 𝒙_{a_{i j}} & = 𝒙_{i} + \frac{r_{i}}{r_{i} + r_{j}} (𝒙_{i} - 𝒙_{j}) \end{matrix}

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Angular velocity needs to be taken into account when transforming the contact point between two particles from local to global coordinates.

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𝒙_{i} \in ℝ^{3}

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𝐅_{i j}^{T}

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r_{i}

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T

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