What does 'with the vertical' mean in circular motion problems?

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ehf
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Homework Statement


Photo of a printed 2015-1 Physics and Lab 1 Middle Exam page with a problem about a car driving around a 20m radius flat circular track at 10m/s, with parts (a) to (c) asking for centripetal force, angle with the vertical, and static friction coefficient.

(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?
 
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