Why does the author use Δ1 + Δ2 for C instead of just Δ2?

In summary, the author discusses the displacement of a frame when subjected to two horizontal loads, 80kN on B and 40kN on C. The author chooses to define the displacement at C as Δ2, which is the additional displacement beyond that of B. This choice may result in simpler equations, but it is not clear if it is simpler overall.
  • #1
fonseh
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Homework Statement


I know that when the 80kN act on B , the frame will be dispalced by Δ1 to the right .. When the 40kN act on C , the frame will be displaced Δ2 to the right ... Why the author use Δ1 + Δ2 for C ?

Homework Equations

The Attempt at a Solution


Is the author wrong ? I think the author should use Δ2 at C instead of Δ1 + Δ2 for C , am i right ? Δ1 can / cannot be the same as Δ2 [/B]
 

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  • #2
The two horizontal loads are applied together. The author chooses to define Δ2 as C's additional displacement beyond that of B.
Do you have an issue with an equation based on that?
 
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  • #3
haruspex said:
The two horizontal loads are applied together. The author chooses to define Δ2 as C's additional displacement beyond that of B.
Do you have an issue with an equation based on that?
why The author chooses to define Δ2 as C's additional displacement beyond that of B ? why can't the author define the displacement at C = Δ2 only ??
 
  • #4
fonseh said:
why The author chooses to define Δ2 as C's additional displacement beyond that of B ? why can't the author define the displacement at C = Δ2 only ??
If you follow through the equations, some of them turn out simpler with the author's choice. Whether it is simpler overall I have not tried to determine.
 

Related to Why does the author use Δ1 + Δ2 for C instead of just Δ2?

What is displacement in a frame?

Displacement in a frame refers to the distance and direction of an object's change in position within a given frame of reference. It is typically measured in units of length, such as meters or feet, and is represented by a vector quantity.

How is displacement in a frame calculated?

Displacement in a frame is calculated by subtracting the initial position of an object from its final position. This calculation takes into account both the magnitude (distance) and direction of the displacement, resulting in a vector quantity.

What is the difference between displacement and distance?

Displacement and distance are often used interchangeably, but they have different meanings. Distance refers to the total path traveled by an object, while displacement only considers the change in position from the starting point to the ending point.

What are some examples of displacement in a frame?

Some examples of displacement in a frame include a car traveling from one city to another, a person walking a certain distance in a specific direction, and a ball being thrown from one point to another. In each of these cases, the displacement would be the difference between the starting and ending points.

Why is displacement in a frame important in science?

Displacement in a frame is important in science because it helps us understand an object's motion and position in relation to a chosen frame of reference. It allows us to accurately measure and analyze an object's movement and track changes in its position over time.

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