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Mechanical Engineering QUESTION #2529
Question 1
For a rigid body rotating about a FIXED axis, the relationship between the velocity of a point P at position vector \(\mathbf{r}\) from the axis is:
  • \(\mathbf{v}_P = \boldsymbol{\omega}\cdot\mathbf{r}\)
  • \(\mathbf{v}_P = \boldsymbol{\omega}\times\mathbf{r}\)✔️
  • \(\mathbf{v}_P = \boldsymbol{\alpha}\times\mathbf{r}\)
  • \(\mathbf{v}_P = \omega^2\mathbf{r}\)
Correct Answer Explanation
For rotation about a fixed axis, velocity of any point is \(\mathbf{v}=\boldsymbol{\omega}\times\mathbf{r}\), with magnitude \(v=\omega r\).