Force Problem, Fuzzy Dice hanging from a rearview mirror

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SUMMARY

The problem involves calculating the acceleration of a race car based on the angle of a string holding fuzzy dice, which hangs at a 70° angle from the vertical. The fundamental equation to use is Newton's second law, F=MA. To solve the problem, one should create a free-body diagram to identify the forces acting on the fuzzy dice, which will help in determining the relationship between the angle and the acceleration of the car.

PREREQUISITES
  • Understanding of Newton's second law (F=MA)
  • Ability to draw and interpret free-body diagrams
  • Basic knowledge of trigonometry, particularly right triangles
  • Familiarity with concepts of constant acceleration
NEXT STEPS
  • Learn how to construct and analyze free-body diagrams in physics
  • Study the relationship between angles and forces in inclined planes
  • Explore problems involving constant acceleration and its applications
  • Review trigonometric functions and their applications in physics
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of applying Newton's laws in real-world scenarios.

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Homework Statement


Heres the problem, I've done these kind of problems before but it has been about a year for me since I've done one and I can't seem to remember how to anymore:
A pair of “fuzzy dice” hangs from a string attached to the rear view mirror of a race car moving with constant acceleration. Find the acceleration if the string makes a 70° angle with the vertical.


Homework Equations


F=MA


The Attempt at a Solution


I am not sure where to start other than I drew a triangle with a 70 degree angle. If someone could just please give me a place to start off from, I would really appreciate it. Thanks!
 
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cmsoccer21 said:

Homework Statement


Heres the problem, I've done these kind of problems before but it has been about a year for me since I've done one and I can't seem to remember how to anymore:
A pair of “fuzzy dice” hangs from a string attached to the rear view mirror of a race car moving with constant acceleration. Find the acceleration if the string makes a 70° angle with the vertical.


Homework Equations


F=MA


The Attempt at a Solution


I am not sure where to start other than I drew a triangle with a 70 degree angle. If someone could just please give me a place to start off from, I would really appreciate it. Thanks!
A free-body diagram would a good place to start. Identify all the forces acting on the dice, what can you say about these forces?
 

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