Static equilibrium of diving board

In summary, to find the force on support A and B for a uniform diving board of mass 27kg and length 4.3m, with a 68kg diver standing at the other end, you can use the equations ForceNet = 0 and TorqueNet = 0. The force on support A can be found by summing the torques about point B, while the force on support B can be found by summing the torques about point A.
  • #1
barz1
4
0

Homework Statement


A uniform diving board of mass=27kg and length x=4.3m is supported by two beams. beam A at x=0m and beam B at x=1.1m. A 68kg diver stands at the other side of the board.
A. Find force on support A.
B. Find force on support B.


Homework Equations


Net force = 0
Net torque = 0
md=68kg -mass of diver
mb=27kg - mass of board
l = 4.3m - length of board


The Attempt at a Solution


I am just having a lot of trouble figuring out the forces and toques for these static equilibrium problems. So I set my ForceNet = 0 = md*g + mb*g - FA - FB. (Not sure if this is correct)
TorqueNet = md*g*l + mb*g*(l/2) - FA*(0)? - FB*1.1
So I guess I don't understand what to use as my pivot point because this torque equation gets rid of my FA all together.

Thanks!
 
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  • #2
barz1 said:

The Attempt at a Solution


I am just having a lot of trouble figuring out the forces and toques for these static equilibrium problems. So I set my ForceNet = 0 = md*g + mb*g - FA - FB. (Not sure if this is correct)

Yep that is correct.

barz1 said:
TorqueNet = md*g*l + mb*g*(l/2) - FA*(0)? - FB*1.1
So I guess I don't understand what to use as my pivot point because this torque equation gets rid of my FA all together.

What you did was take the sum of the torques about the point A, so this will give you FB

Remember, the sum of the torques about any point is zero.

So if you want FA, you can sum the torques about point B.
 

1. What is static equilibrium and how does it apply to diving boards?

Static equilibrium refers to the state of an object where all forces acting on it are balanced, resulting in no net force and no change in motion. In the case of diving boards, static equilibrium is important because it ensures that the board is stable and safe to use.

2. What factors affect the static equilibrium of a diving board?

The main factors that affect the static equilibrium of a diving board are the weight and distribution of the diver, the weight and length of the board, and the location and strength of the support structure.

3. How can I calculate the static equilibrium of a diving board?

To calculate the static equilibrium of a diving board, you need to consider the weight and distribution of the diver, the weight and length of the board, and the location and strength of the support structure. Using these factors, you can apply the principles of statics to determine the forces acting on the board and ensure that they are balanced.

4. What happens if the static equilibrium of a diving board is not maintained?

If the static equilibrium of a diving board is not maintained, the board may become unstable and potentially dangerous for the diver to use. This can result in the board breaking or collapsing, causing injury to the diver.

5. How can I ensure that the static equilibrium of a diving board is maintained?

To ensure that the static equilibrium of a diving board is maintained, it is important to regularly inspect and maintain the board and its support structure. This includes checking for any signs of wear or damage, and making any necessary repairs or adjustments. It is also important to follow weight and usage guidelines to prevent overloading the board and compromising its equilibrium.

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