Definition of 'with the vertical' in this question?

In summary, the conversation discusses the relationship between force and direction in circular motion. It explains that a vertical force supports the car against gravity, while a horizontal centripetal force keeps the car on its circular path. The angle of the total force against the car with the vertical can be determined using the arc tangent of the ratio of these forces.
  • #1
ehf
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Homework Statement


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(please ignore something that is not english)

Homework Equations


ac=v^2/r
Fc is about 6.0E3 N and ac is about 5.0 m/s^2
(b) is the problem...

The Attempt at a Solution


what is 'with the vertical' here? the direction/opposite of ac or the direction of v?
 
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  • #2
It means the angle with the vertical. So a strictly vertical force downward would be 0 degrees. A strictly horizontal (sliding) force would be 90 degrees.
 
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  • #3
sliding=horizontal=velocity direction and vertical=ac direction then?
 
  • #4
ehf said:
sliding=horizontal=velocity direction and vertical=ac direction then?
The force applied to the car by the pavement will consist of 2 components:
- 1) There will be a vertical component that supports the mass of the car against gravity.
- 2) There will be a horizontal centripetal force that holds the car along its circular path.

The angle of the total force against the car with vertical will be an arc tangent of the ratio of these forces.
 
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  • #5
.Scott said:
The force applied to the car by the pavement will consist of 2 components:
- 1) There will be a vertical component that supports the mass of the car against gravity.
- 2) There will be a horizontal centripetal force that holds the car along its circular path.

The angle of the total force against the car with vertical will be an arc tangent of the ratio of these forces.

Oh thank you now I understand the meaning
 

1. What does "with the vertical" mean in this question?

"With the vertical" refers to the direction perpendicular to the ground or horizontal surface. It is often used in physics and engineering to describe an object's orientation in relation to gravity.

2. How is "with the vertical" different from "with the horizontal"?

While "with the vertical" refers to the direction perpendicular to the ground, "with the horizontal" refers to the direction parallel to the ground. They are essentially opposite directions and are often used together to describe an object's position or movement in space.

3. Can you provide an example of "with the vertical" in action?

Imagine a building with a flagpole on top. The flagpole would be oriented with the vertical, meaning it is perpendicular to the ground and pointing straight up towards the sky.

4. How is "with the vertical" relevant in scientific research?

The concept of "with the vertical" is important in many fields of science, including physics, engineering, and geology. It helps us understand the forces acting on objects and how they move in relation to gravity. It is also used to describe the orientation of geological formations and the direction of earth's magnetic field.

5. Are there any common misconceptions about "with the vertical"?

One common misconception is that "with the vertical" always means straight up and down. In fact, it can refer to any direction perpendicular to a horizontal surface, so it could also mean leaning to the side or at an angle. Another misconception is that "with the vertical" is the same as "vertical." While they are related, "with the vertical" specifically describes an object's orientation in relation to gravity, while "vertical" can be used more broadly to mean anything that is oriented straight up and down.

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