Pendulum problem in KE chapter

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Homework Help Overview

The problem involves a bullet passing through a pendulum bob and requires determining the minimum initial speed of the bullet for the bob to complete a vertical circle. This falls under the subject area of mechanics, specifically relating to kinetic energy and conservation laws.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of conservation laws, specifically momentum and energy, to analyze the problem. There is an emphasis on understanding how these principles relate to the motion of the pendulum bob after the bullet passes through.

Discussion Status

Some participants have confirmed the need to use conservation laws and have engaged in clarifying the approach. There appears to be a productive direction in exploring the necessary calculations and principles involved.

Contextual Notes

Participants are working within the constraints of the problem as posed, including the specific variables and conditions outlined by the original poster. There is an implicit assumption regarding the ideal behavior of the pendulum and bullet interactions.

esinn08
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Hi Everyone,

My question is as follows:

A bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed v/2. The pendulum bob is suspended by a stiff rod of length and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use M for M, m for m, l for , and g for gravity, as necessary.)

Any suggestions would be greatly appreciated! :smile: Thanks so much!

esinn08
 
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Why don't you give it a shot? Here's a hint: You'll need to use two conservation laws.
 
Doc Al said:
Why don't you give it a shot? Here's a hint: You'll need to use two conservation laws.

1) conservation of momentum
2) conservation of energy

Am I right?
 
You are correct.
 

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