Finding the coefficent of static friction

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SUMMARY

The minimum coefficient of static friction required for a roller-coaster car to complete a circular loop of radius r at a speed v is determined by the forces acting on the car. Assuming a weight of 1000 kg and a speed of 40 m/s around a loop with a radius of 100 m, the calculation involves understanding the role of static friction in maintaining the car's motion. The discussion clarifies that static friction, rather than kinetic friction, is essential for the wheels to roll effectively without slipping.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of circular motion dynamics
  • Familiarity with the concepts of static and kinetic friction
  • Basic mathematical skills for physics calculations
NEXT STEPS
  • Calculate the forces acting on a roller-coaster car during circular motion
  • Explore the relationship between speed, radius, and friction in circular motion
  • Learn about the physics of roller-coaster design and safety factors
  • Study the equations governing static friction and its applications in real-world scenarios
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Physics students, mechanical engineers, roller-coaster designers, and anyone interested in the dynamics of motion and friction in engineering applications.

pinkerpikachu
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1. What is the minimum coefficient of static friction required for a roller-coaster car to complete a circular loop of radius r, if it is traveling with sufficient speed v? I'm just very confused with all of this because the question seems so broad and there are so many things to consider.

A little bump or nudge in the right direction is highly appreciated.

Also I don't really know what kind of things I am supposed to assume besides the weight of the rollercoaster car, the velocity, and the radius. Is that sufficient information?

Help is highly appreciated!
 
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pinkerpikachu said:
1. What is the minimum coefficient of static friction required for a roller-coaster car to complete a circular loop of radius r, if it is traveling with sufficient speed v?
I don't understand the question. Are you presenting it word for word exactly as it was given?
 
Yes, that is word for word.

It means (these are all values off the top of my head), assuming the weight for a rollercoaster car is about 1000 kg, it is going at a speed 40 m/s around a loop with radius r= 100m what is the minimum coefficient of static friction that the wheels must have for the car to be able to complete the loop.

I though it should be a kinetic friction at first, but i remembered that what allows a wheel to turn is all static friction
 
Sorry, but the question still makes no sense to me. You can make the coefficient of friction zero for all it matters, let the wheels slide instead of roll.

(Is this from a textbook, by any chance? Or one made up by your professor?)
 
its one by my professor.

hm...sorry I can't make you understand it.

one more try:

There is a rollercoaster car, it order for it to complete a loop its wheels have to have a certain static friction coefficient at a certain velocity. Taking into count all of the forces on the coaster, what is the coefficient of static friction?

Thanks for trying.
 

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