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
  • #1
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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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  • #2
It's correct, I entered the MAGNITUDE of the support force with a SIGN. Goodbye marks.
 
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