Calculate Torque: Homework Solutions

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SUMMARY

The discussion focuses on calculating the forces exerted by two individuals holding a 4.55-kg wooden board with a 5.00-kg box placed on it. The total downward force is calculated as 93.59 N, combining the weights of the board and the box. To determine the individual forces exerted by each person, it is essential to apply the torque equation T=F*d and select a pivot point for torque calculations. This approach leads to a system of equations that accounts for both the forces and torques acting on the board.

PREREQUISITES
  • Understanding of basic physics concepts such as force and torque.
  • Familiarity with the torque equation T=F*d.
  • Knowledge of equilibrium conditions in static systems.
  • Ability to set up and solve systems of equations.
NEXT STEPS
  • Study the principles of static equilibrium in physics.
  • Learn how to apply the torque equation in various scenarios.
  • Explore examples of force distribution in static systems.
  • Practice solving problems involving multiple forces and torques.
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Students studying physics, particularly those focusing on mechanics and static equilibrium, as well as educators looking for examples of torque calculations in real-world applications.

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Homework Statement



Two people are holding up the ends of a 4.55-kg wooden board that is l = 1.90 m long. A m = 5.00-kg box sits on the board, 0.50 m from one end, as shown below. What forces do the two people exert?


Homework Equations



T=F*d

The Attempt at a Solution


4.55*9.8=44.59N
5*9.8=49N
49N+44.59N=93.59N=Total Force

Length(left)=1.4m Length(right)=.5m


I am unsure how do you calculate the force each person exerts, or if I am missing an equation
 
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The total force is not just the sum of the weights. If the board is being held up, each person will exert a force on the board in the upwards direction. So you have four forces to sum up, not two. You also need to sum up the torques by picking one point to be your pivot point (it would be convenient to pick one of the points where a person is holding the board). This will give you two equations to work with.
 

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