I really , please -- Deflection of a diving board

In summary, the weight of the diver and the elasticity of the board material are the main factors that contribute to deflection in a diving board. To reduce deflection, the material of the board can be made more rigid or the design can be modified. Excessive deflection can lead to injuries and accidents, and it can be predicted using mathematical models. There are safety standards and regulations in place to ensure the maximum allowable deflection of diving boards.
  • #1
tmhnx
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Homework Statement
I don't know
Relevant Equations
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Here my problem:
A diving board has a vertical depression of 6 inches when a 100-pound man stands 8 feet from the fulcrum. Determine the weight of a man who causes the same diving board to deflect 4 inches vertically when he stands 6 feet from the fulcrum. Show your reasoning and complete solution.
 
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  • #2
Check Khan Academy for help first as we can only provide hints. We can’t do your homework for you that not how it works on PF.

Also you could work with your teacher or fellow students.
 

1. What causes a diving board to deflect?

The deflection of a diving board is caused by the application of downward force, commonly from a diver jumping or landing on the board. This force causes the board to bend or flex, resulting in deflection.

2. How is the amount of deflection measured?

The amount of deflection in a diving board can be measured by the distance the tip of the board moves from its original position when a certain amount of force is applied. This is typically measured in inches or centimeters.

3. Can deflection be controlled or adjusted?

Yes, deflection can be controlled and adjusted through the design and material selection of the diving board. The type of wood, thickness, and shape of the board all play a role in how much deflection it will have.

4. Is deflection of a diving board dangerous?

In most cases, the deflection of a diving board is not dangerous as it is designed to withstand a certain amount of force and flex without breaking. However, if the board is old or damaged, it may be more prone to breaking under pressure, which can be dangerous.

5. How does deflection affect a diver?

Deflection of a diving board can affect a diver by changing the trajectory and bounce of their jump. This can impact their performance and potentially cause injury if the board deflects too much or unexpectedly.

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