Equations for Normal Forces at A and B: F_A + F_B = 0d * F_A - b * F_B = 0

In summary, the conversation discusses understanding the use of dividing d by b in equations for solving for normal forces at points A and B. The key concept is balance equations, where the forces and moments must balance in order for an object to not move or keel over. Two equations with two unknowns can be written to solve for the normal forces at A and B. The person is asked to write down these equations for further assistance if needed.
  • #1
WesTech
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1. Homework Statement

This isn't really a problem but an example in an online lecture. I'm trying to understand everything for when I get to harder questions but am having trouble understanding the "d/b" part of the equation.

Homework Equations


How does dividing d by b help solve for the normal forces acting at A and B? I apologize if my question is not phrased well enough.

The Attempt at a Solution

 
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  • #2
Hi Wes,

It's all about balance equations: The thing doesn't move (or keel over, which is also a form of motion), so
  1. the forces balance
  2. the moments balance
If you write down these two balance equations you have two equations for two unknowns (normal force at A and at B).

Do us a favor and write down these two equations and we'll take it from there (if still necessary :smile:)
 

FAQ: Equations for Normal Forces at A and B: F_A + F_B = 0d * F_A - b * F_B = 0

What is normal force equilibrium?

Normal force equilibrium is a state in which an object is at rest or moving at a constant velocity, with the sum of all normal forces acting on the object equal to zero. This means that the forces acting perpendicular to the surface of the object are balanced, resulting in no net force.

How is normal force equilibrium different from other types of equilibrium?

Normal force equilibrium is specific to objects that are in contact with a surface. Other types of equilibrium, such as static and dynamic equilibrium, also take into account forces acting parallel to the surface of an object.

What factors can affect normal force equilibrium?

Normal force equilibrium can be affected by the weight of an object, the angle at which it is placed on a surface, and any external forces acting on the object.

How is normal force equilibrium used in real-life applications?

Normal force equilibrium is used in many everyday situations, such as balancing objects on a table or shelf, determining the weight distribution of a building on its foundation, and understanding the forces acting on an object on an incline.

What happens if normal force equilibrium is not achieved?

If normal force equilibrium is not achieved, the object will experience a net force and will either accelerate or decelerate. This can result in the object sliding or tipping over, depending on the direction of the net force.

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