How to Find a Gymnast's Speed at the Bottom of a Swing?

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In summary, the conversation discusses a problem involving a gymnast swinging on a high bar and determining his speed at the bottom of the swing. The concept of conservation of mechanical energy is brought up, but the person is unsure of how to set up the equation due to a lack of lectures and instruction in their class. It is noted that the speed at the bottom of the swing depends on the starting point at the top of the swing.
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djherse
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Another Fine Gymnist problem ...

A gymnist is swinging on a high bar. The distance between his waist and the bar is 1.0 m, as the drawing shows.


At the top of the swing his speed is momentarily zero. ignoring friction and treating the gymnist as if all his mass is located at his waist, find his speed at the bottom of the swing.

I know it must have something to do with The conservation of mechanical energy however I am not sure how to set up both sides of the equation ? my algebra is a little ruff... I an lost here i know some stuff must cancell out but what ? it all can't cancell out Mass must cancell because it is not given to you but what else?
 
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bump...

On a side note my class is part of a physicis without lectures trial at me school we are the second class to be subjected to this new teaching style and it is horiable. We have Zero lectures and are told to determine equations on our own... the teacher will only answer questions we have. Our entire 3 hour class is spent working in a poorly written workbook...
 
  • #3
djherse said:
A gymnist is swinging on a high bar. The distance between his waist and the bar is 1.0 m, as the drawing shows.


At the top of the swing his speed is momentarily zero. ignoring friction and treating the gymnist as if all his mass is located at his waist, find his speed at the bottom of the swing.

I know it must have something to do with The conservation of mechanical energy however I am not sure how to set up both sides of the equation ? my algebra is a little ruff... I an lost here i know some stuff must cancell out but what ? it all can't cancell out Mass must cancell because it is not given to you but what else?
What does the drawing show as his start point at the top of the swing, relative to the bottom of the swing? His speed at the bottom depends on how high up he starts.
 

FAQ: How to Find a Gymnast's Speed at the Bottom of a Swing?

What is the Another Fine Gymnist Problem?

The Another Fine Gymnist Problem is a mathematical puzzle that involves finding the value of a specific term in a sequence. It was first introduced in the book "Another Fine Math You've Got Me Into" by Ian Stewart.

How do you solve the Another Fine Gymnist Problem?

The Another Fine Gymnist Problem can be solved by using a technique called recursion, which involves breaking down the problem into smaller, simpler parts. The solution can also be found using a computer program or by hand using mathematical equations.

What is the significance of the Another Fine Gymnist Problem?

The Another Fine Gymnist Problem is significant in the field of mathematics as it demonstrates the concept of recursion and the importance of breaking down complex problems into smaller, solvable parts. It also has real-world applications in fields such as computer science and engineering.

Is the Another Fine Gymnist Problem difficult to solve?

The difficulty of the Another Fine Gymnist Problem can vary depending on the individual's mathematical background and problem-solving skills. Some may find it challenging, while others may find it relatively easy. However, with practice and a good understanding of recursion, anyone can solve the problem.

Are there any variations of the Another Fine Gymnist Problem?

Yes, there are many variations of the Another Fine Gymnist Problem, with different starting values, rules, and desired outcomes. Some variations may be more challenging than others, but they all follow the same basic concept of finding the value of a term in a sequence using recursion.

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