What is the magnitude of the downward force

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SUMMARY

The discussion focuses on calculating the magnitude of the downward force exerted on the fulcrum of a teeter-totter with an 80-kg man and a 20-kg boy. Using the principles of static equilibrium, the weight of the boy is determined to be 20 kg by applying the momentum equation ΣM=0. Subsequently, the total downward force (Ff) on the fulcrum is calculated using the force equation ΣF=0, resulting in a total force of 981 Newtons.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of basic physics equations (ΣM=0 and ΣF=0)
  • Familiarity with gravitational force calculations (F = m*g)
  • Ability to perform unit conversions and calculations in Newtons
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  • Study the concept of torque and its application in rotational dynamics
  • Learn more about static equilibrium in physics
  • Explore advanced problems involving multiple forces and moments
  • Investigate the effects of varying weights and distances on a teeter-totter system
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of static equilibrium and force calculations in mechanical systems.

catmd13
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Homework Statement



80-kg man balances the boy on a teeter-totter as shown.
Note: Ignore the weight of the board. What is the magnitude of the downward force exerted on the fulcrum in Newtons?


Homework Equations





The Attempt at a Solution

 

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catmd13 said:

Homework Statement



80-kg man balances the boy on a teeter-totter as shown.
Note: Ignore the weight of the board. What is the magnitude of the downward force exerted on the fulcrum in Newtons?[/b]
Perhaps like this. First we use momentum equations to determine boys weight.
ΣM=0 mb*g*4=mm*g*1
mb=mm1/4
mb=80/4=20
Then we use forces equations.
ΣF=0 mb*g+mm*g-Ff
Ff=mb*g+mm*g
Ff=20*9,81+80*9,81
Ff=981 N
 

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