Solving the Pendulum Problem: An Overview

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The discussion centers on solving a pendulum problem using energy principles and total work equations, focusing on kinetic and potential energy. The user is considering employing a force diagram to analyze the situation when the string goes slack, which leads to projectile motion. Suggestions emphasize that once the string is slack, gravity is the only force acting on the particle, allowing it to be treated as a free-falling object. The conversation highlights the importance of understanding energy relationships in tackling the problem effectively. Overall, the approach combines theoretical concepts with practical problem-solving strategies in physics.
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Homework Statement



I attached a picture of the problem given. In my physics class we never work with numbers we always work with variables.

IMG_0001-1.jpg


Here is a link as well.
http://i10.photobucket.com/albums/a133/TOmaynardOL/IMG_0001-1.jpg



Homework Equations



I have yet to tackle this problem, but I am thinking about using the total work equations. (kinetic, potential, work due to spring etc)


The Attempt at a Solution



As stated above, not yet done, but working on an approach before I go head first going about it all wrong.


Thanks in advance!
 
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Hi tapeworm,

tapeworm said:

Homework Statement



I attached a picture of the problem given. In my physics class we never work with numbers we always work with variables.

IMG_0001-1.jpg


Here is a link as well.
http://i10.photobucket.com/albums/a133/TOmaynardOL/IMG_0001-1.jpg



Homework Equations



I have yet to tackle this problem, but I am thinking about using the total work equations. (kinetic, potential, work due to spring etc)

Using energy relationships sounds like a good idea; also, you might consider a force diagram at the point where the string goes slack.
 
Im stuck, any suggestions? (when string goes slack) (projectile motion?)
 
tapeworm said:
Im stuck, any suggestions? (when string goes slack) (projectile motion?)

That looks right to me; after the string becomes slack, the only force acting on the particle is gravity so it is in free fall, and you can treat it as projectile motion.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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