What Happens to Rotational Velocity When AC Part is Dropped?

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Discussion Overview

The discussion revolves around the effects on rotational velocity when a segment of a rotating rod is suddenly dropped. It involves theoretical considerations of angular momentum and the dynamics of rotational motion, with a focus on the implications of mass loss in a non-concentric manner.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant describes a scenario involving a rod rotating at 5 rad/s and questions the resulting rotational velocity after a segment is dropped.
  • Another participant suggests that dropping the AC part will result in less mass rotating, but notes that this will not be in a concentric manner.
  • A participant expresses confusion about calculating the angular momentum of the dropped part and considers subtracting its angular momentum from the initial total angular momentum of the rod.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific outcomes or calculations involved in determining the new rotational velocity after the segment is dropped. Multiple viewpoints and uncertainties remain regarding the approach to calculating angular momentum.

Contextual Notes

There are unresolved questions about the assumptions necessary for calculating angular momentum, particularly regarding the mass distribution and the method for determining the angular momentum of the dropped segment.

Who May Find This Useful

This discussion may be of interest to students and enthusiasts in physics, particularly those studying rotational dynamics and angular momentum in the context of mechanics.

Anisur Rahman
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TL;DR
Need help in this question.
In figure AO = OB = 4m. C is the midpoint of AO. The rod rotates with a velocity of 5 rad/s about the axis PQ. What will be the rotational velocity of the remaining rod if AC part is suddenly dropped from the rod? Assume that the mass of this uniform rod is M.
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What do you think it will happen?
You will have less mass rotating, but not in a concentric way.
 
Lnewqban said:
What do you think it will happen?
You will have less mass rotating, but not in a concentric way.
To calculate the angular momentum of the remaining rod, I think to substract the angular momentum of the dropped part from primary angular momentum. But I am confused about to calculate the angular momentum of the dropped part. How can I calculate that?
 
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Anisur Rahman said:
TL;DR Summary: Need help in this question.

In figure AO = OB = 4m. C is the midpoint of AO. The rod rotates with a velocity of 5 rad/s about the axis PQ. What will be the rotational velocity of the remaining rod if AC part is suddenly dropped from the rod? Assume that the mass of this uniform rod is M.
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Please repost your question in the Homework Help forums and always show your Attempt at the Solution when starting new schoolwork threads. Thank you.
 

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