A Curious question About Ballistic Pendulum Solution

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The discussion centers on the mechanics of a ballistic pendulum, specifically questioning the final energy state being solely gravitational potential energy. Participants explore the concept of rotational kinetic energy, debating its relevance at the peak of the pendulum's swing. It is clarified that at maximum displacement, the pendulum's velocity is zero, leading to zero rotational kinetic energy. The conversation emphasizes the importance of understanding energy transformations in pendulum motion. Ultimately, the conclusion is reached that the pendulum's energy at its peak is entirely gravitational potential energy due to the absence of motion.
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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