What is the Instant Centre of Rotation for a Rotating Bar?

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SUMMARY

The Instant Centre of Rotation (ICR) for a rotating bar is determined by the orthogonality condition, which states that the ICR must be orthogonal to the velocities of points A and B on the bar. In this discussion, it is concluded that the ICR is at infinity when the motion of the bar is purely translational. However, this conclusion is challenged, as point A is rotating, indicating that the velocities of points A and B are not parallel unless acceleration is zero. Therefore, the correct interpretation of the ICR requires acknowledging the rotational motion of the bar.

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  • Understanding of rotational dynamics and kinematics
  • Familiarity with the concept of Instant Centre of Rotation (ICR)
  • Knowledge of orthogonality in vector analysis
  • Basic principles of translational and rotational motion
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Hidd
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Homework Statement


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Homework Equations


orthogonality condition: that means that the point of ICR is orthogonal to the velocity Vb and Va

The Attempt at a Solution


the solution that i found with the problem is:
The ICR of the bar is at infinity. the motion of the bar is translational.

I think that the answer is wrong because the point A is rotating, thus the the velocity of vb is not parallel to Va.
 

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I agree with you. Only if a = 0 are the velocities parallel -- and then the bar does indeed not rotate
 
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