A Car moving in circular motion

AI Thread Summary
In a car moving in uniform circular motion, a mass suspended from the ceiling will create an angle with the vertical due to the forces acting on it. The tension in the string and gravitational force are the primary forces at play, with the tension providing the necessary centripetal force to keep the mass moving in a circle. As the car moves, the string will lean towards the center of the circular path, indicating that the angle will be constant as long as the speed and radius remain unchanged. Understanding the balance of these forces is crucial to determining the angle the string makes with the vertical. The discussion emphasizes the importance of analyzing forces in circular motion to solve the problem effectively.
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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