Definition of 'with the vertical' in this question?

AI Thread Summary
The discussion clarifies the meaning of "with the vertical" in relation to forces acting on a car. It explains that this phrase refers to the angle formed between the total force on the car and the vertical direction. The forces acting on the car include a vertical component that counters gravity and a horizontal centripetal force that maintains the car's circular motion. The angle can be calculated using the arc tangent of the ratio of these two forces. This understanding resolves the initial confusion regarding the term.
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Homework Statement


J5VjCPu.jpg

(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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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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sliding=horizontal=velocity direction and vertical=ac direction then?
 
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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.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
 
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