Create the free-body diagram for the scenario below.

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SUMMARY

The discussion focuses on analyzing the forces acting on a Mercedes-Benz 300SL (mass = 1700 kg) parked on a 15-degree incline. The key forces identified are the normal force and static frictional force exerted by the ground on the tires. Participants clarify the representation of gravitational force (mg) in the free-body diagram, emphasizing the need to distinguish between its components: mg sin(θ) and mg cos(θ). The conversation highlights the importance of accurately depicting these forces in the diagram for proper analysis.

PREREQUISITES
  • Understanding of free-body diagrams
  • Knowledge of static friction and normal force concepts
  • Basic trigonometry, specifically sine and cosine functions
  • Familiarity with Newton's laws of motion
NEXT STEPS
  • Study the principles of free-body diagram construction
  • Learn about static friction coefficients and their applications
  • Explore the effects of incline angles on normal and frictional forces
  • Review Newton's second law in the context of inclined planes
USEFUL FOR

Students in physics, engineering, or mechanics, particularly those studying forces on inclined planes and free-body diagram analysis.

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Homework Statement


A Mercedes-Benz 300SL (m = 1700 kg) is parked on a road that rises 15 degrees above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires? Important: Assume that the road is higher up to the right and lower down to the left.
Create the free-body diagram. Please use the blue vector to specify forces.

Homework Equations


NA

The Attempt at a Solution


upload_2018-10-3_14-30-6.png

Right now I'm currently stuck with the vector highlighted in red. I just don't understand if it the angle that it is in or the length that is wrong.
 

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The diagram appears to have two forces that are labeled "mg" (one red and the other blue). What type of force does "mg" represent? How many such forces act on the car?
 
I am not able to enlarge your diagram to see things clearly. You seem to have drawn four vectors. Please list them and describe them along with statements of the direction of each.
 
I added an extra vector. I was mistakenly adding the mg sin and mg cos
 

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