A Curious question About Ballistic Pendulum Solution

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Discussion Overview

The discussion revolves around the mechanics of a ballistic pendulum, specifically focusing on the energy transformations involved and the role of rotational kinetic energy during the pendulum's motion. Participants explore concepts related to potential energy, rotational motion, and velocity at maximum displacement.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions why the final energy of the pendulum is considered only gravitational potential energy, suggesting that rotational kinetic energy should also be accounted for during its motion.
  • Another participant seeks to clarify the rotational velocity at the peak of the pendulum's displacement, indicating uncertainty about the correct expression for it.
  • A participant proposes that the rotational velocity at the peak could be expressed as v/r, although they express uncertainty about this claim.
  • One participant asks about the speed of the pendulum at a maximum displacement of sixty degrees, leading to a discussion about whether the velocity is zero at this point.
  • A later reply confirms that the velocity is indeed zero at maximum displacement, concluding that this implies the rotational kinetic energy is also zero.

Areas of Agreement / Disagreement

Participants express differing views on the role of rotational kinetic energy in the system, and there is uncertainty regarding the velocity at maximum displacement. The discussion does not reach a consensus on these points.

Contextual Notes

Participants rely on assumptions about the definitions of energy types and the behavior of the pendulum at maximum displacement, which may not be fully articulated. The discussion includes unresolved questions about the specifics of rotational motion.

Who May Find This Useful

Individuals interested in mechanics, energy transformations, and the dynamics of pendulum systems may find this discussion relevant.

terryds
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I've watched a video about ballistic pendulum problems.
The illustration is :
5l9e28.jpg


I wonder why the final energy is just a gravity potential energy.
I think there is also a rotational kinetic energy (since it will rotate and oscillate)
Is my thought wrong?
 
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terryds said:
also a rotational kinetic energy
What's the rotational velocity at the "peak" of the pendulum displacement?
 
Bystander said:
What's the rotational velocity at the "peak" of the pendulum displacement?
I'm not quite sure. But, I think it will be v/r
Am I right ?
 
In your sketch, where the maximum displacement from the vertical is indicated to be sixty degrees, how fast is the pendulum moving?
 
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Bystander said:
In your sketch, where the maximum displacement from the vertical is indicated to be sixty degrees, how fast is the pendulum moving?
Do you mean the velocity ?
I think it's 0 m/s since it has reached the amplitude.
Oh yeah.. Thank you for your answer.
I get it now.. Because the velocity is zero, so the rotational kinetic energy is zero !
 

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