Max Velocity for a Car over a Speed Bump in Uniform Circular Motion

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SUMMARY

The discussion focuses on determining the maximum speed a car can maintain while passing over a speed bump without losing contact with the road in the context of uniform circular motion. The key concept is that sufficient centripetal acceleration must be provided by the gravitational force acting on the car. The maximum velocity is achieved when the gravitational force equals the required centripetal force, allowing the car to remain in contact with the road surface. The participant concludes that understanding the relationship between gravitational force and centripetal acceleration is essential for solving the problem.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Knowledge of centripetal acceleration calculations
  • Familiarity with gravitational force equations
  • Basic physics concepts related to forces and motion
NEXT STEPS
  • Study the equations for centripetal acceleration in detail
  • Explore gravitational force calculations in various contexts
  • Learn about the dynamics of vehicles over obstacles like speed bumps
  • Investigate real-world applications of uniform circular motion in automotive engineering
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the dynamics of vehicles in motion, particularly in relation to forces acting on cars over obstacles.

astrokat11
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I'm doing problems modeling particles in uniform circular motion and one is about a car going over a speed bump. I figured out the problem, but then it asks "What is the max speed the car can have as it passes this highest point without losing contact with the road?" I'm not sure what this part of the question is asking. Can anyone rephrase it for me or lead me in the right direction? I don't think it's a friction thing since it's not sliding, would this be over coming the maximum radial force?
Thank you
 
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In order to maintain contact with the road as the car goes over the bump there must be enough force to provide the needed centripetal acceleration. The faster you go, the greater the centripetal acceleration and thus the greater force required. What forces act on the car as it goes over the bump? What's the maximum net downward force on the car?
 
Ah, well the only downward force is gravity, so I just need to find the max velocity while mg is greater than the centripetal accel. I think I can figure that out then. Thanks
 

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