Static equilibrium and a diving board

In summary, static equilibrium is a state in which all forces acting on an object cancel each other out, resulting in a balanced and motionless object. A diving board achieves static equilibrium by evenly distributing the weight of the diver and the force of gravity along its length. Factors that affect the static equilibrium of a diving board include the weight and positioning of the diver, the length and material of the board, and the force of gravity. The static equilibrium of a diving board can be maintained by evenly distributing the weight of the diver and ensuring the board is made of a strong and stable material. If the static equilibrium of a diving board is disrupted, it can lead to potential injuries to the diver or damage to the board. Regular maintenance and inspections are important
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Homework Statement
A diving board of length 3.00 m is supported at a point 1.00 m from the end, and a diver weighing 500 N stands at the free end (Figure 1). The diving board is of uniform cross section and weighs 280 N.
Find the magnitude of the force at the support point and its direction.
Find the magnitude of the force at the left-hand end and its direction.
Relevant Equations
##\sum\tau=0##
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I take the left end as reference for torques:
$$\sum\tau=F_\text{support}+\frac 32\times280+3\times500=0\Leftrightarrow F_\text{support}=-192.\times10^1\,N$$
It's facing up.
I take the right end as reference for torques:
$$\sum\tau=-192.\times10^1\times2+\frac 32\times280+3F=0\Leftrightarrow F=114.\times10^1\,N$$
Its direction is downwards.
 
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It's correct, I entered the MAGNITUDE of the support force with a SIGN. Goodbye marks.
 
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1. What is static equilibrium?

Static equilibrium is a state in which all forces acting on an object are balanced, resulting in no net change in the object's motion or position.

2. How does a diving board achieve static equilibrium?

A diving board achieves static equilibrium by having its center of mass aligned with the pivot point, or fulcrum, and by having the forces acting on it, such as the weight of the diver and the reaction force from the board, balanced.

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

The length and stiffness of the diving board, the weight and position of the diver, and the location of the pivot point are all factors that can affect the static equilibrium of a diving board.

4. How does the center of mass of the diver affect the static equilibrium of the diving board?

The center of mass of the diver must be aligned with the pivot point of the diving board in order to achieve static equilibrium. If the center of mass is not aligned, the board will tilt and the diver may fall off.

5. Can the static equilibrium of a diving board be disrupted?

Yes, the static equilibrium of a diving board can be disrupted if there is an external force acting on the board, such as a strong wind or a diver landing off-center. This can cause the board to tilt and the diver to lose balance.

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