A Car moving in circular motion

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SUMMARY

The discussion centers on a physics problem involving a car moving in uniform circular motion with a radius of 200 ft and a constant velocity of 20 ft/s. The key focus is on determining the angle that a 2 kg mass suspended from the ceiling of the car makes with the vertical as the car navigates the circular path. The relevant equations include centripetal force (Fr = mrw²) and the relationship between linear velocity and radius (v = rw). The string will lean towards the center of curvature due to the forces acting on the mass.

PREREQUISITES
  • Understanding of uniform circular motion
  • Knowledge of centripetal force equations
  • Familiarity with free-body diagrams
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the derivation of centripetal force equations in detail
  • Learn how to draw and analyze free-body diagrams for objects in circular motion
  • Explore the concept of tension in strings and its relation to circular motion
  • Investigate the effects of varying speeds on the angle of the string in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples to illustrate these concepts.

interxavier
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Homework Statement


Suppose you are driving a car around in a circle of radius 200 ft, at a velocity which has the constant magnitude of 20 ft/s. A string hangs from the ceiling of the car with a mass of 2 kg suspended from it. What angle will the string make with the vertical? (Away from the center of curvature)


Homework Equations


Fr = mrw^2
v = rw


The Attempt at a Solution


Basically, the part about the string hanging from the ceiling of the car makes this problem confusing. My understanding is that if the car moves in uniform circular motion (constant speed), then the angle of the string will not vary. The thing is, the string will lean towards the center of curvature while the car is moving in a circular path (correct me, if I'm wrong).
 
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let me ask you this:

Which forces are acting on the object suspended from the ceiling of the car?
 

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