Solving Static Equilibrium: Force at Support & Left End

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The discussion focuses on a static equilibrium problem involving a diving board supported at a point with a diver at the free end. Participants express confusion about the direction of forces at the support and the left end, questioning whether the left end force points up or down. It is clarified that the net torque must equal zero for extended bodies and that both net force and net torque conditions must be satisfied for equilibrium. The importance of guessing the direction of forces and adjusting based on the resulting calculations is emphasized. Understanding these concepts is crucial for solving static equilibrium problems effectively.
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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 490 N stands at the free end . The diving board is of uniform cross section and weighs 295 N. Find the force 1) by the support 2) at the left end

Picture Link: http://session.masteringphysics.com/problemAsset/1041644/8/YF-11-24.jpg


Homework Equations



Static equllibrium equations

The Attempt at a Solution



I have a ONE big doubt. I understand that the support would point upwards since it is just like normal forces. What about the force at the left end. Where will it point and why?
Another general doubt is about equllibrium. When should we use tau net is equal to zero and when should we use the total net force is equal to zero and when should we use both .. Thanks for helping!
 
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ehabmozart said:
I have a ONE big doubt. I understand that the support would point upwards since it is just like normal forces. What about the force at the left end. Where will it point and why?
What do you think? If you replaced that structure with your hand, would you have to pull up or push down?

When in doubt GUESS. Then when you solve for the unknown force, you'll find out if you guessed the correct direction since you'll get a positive value.
Another general doubt is about equllibrium. When should we use tau net is equal to zero and when should we use the total net force is equal to zero and when should we use both ..
For equilibrium, both conditions must be met. The net torque equal to zero only applies with an extended body, such as a diving board.
 
For the first part, why is there even a force at the end, there is a support. I mean the left hand could be either up or down.
 
ehabmozart said:
For the first part, why is there even a force at the end, there is a support. I mean the left hand could be either up or down.
I don't understand what you mean. If you removed the structure, what do you think would happen to the board and diver?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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