Circular Motion of a roller coaster

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SUMMARY

The discussion centers on calculating the work done by frictional forces in a roller coaster physics project. It establishes that the direction of friction always opposes the motion of the marble and is tangential to the track at any point. The conversation also highlights that if the marble rolls without slipping, sliding friction does not apply, complicating the calculation of friction's magnitude.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic principles of circular motion
  • Concept of friction and its types (static vs. kinetic)
  • Knowledge of forces acting on objects in motion
NEXT STEPS
  • Study the principles of rolling motion and its implications on friction
  • Learn about calculating forces in circular motion using free-body diagrams
  • Explore the concept of work done by friction in mechanical systems
  • Investigate the differences between static and kinetic friction in practical applications
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in the dynamics of roller coasters and frictional forces.

xkittenx
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Alrighty.. I was just wondering if you'd be able to help me out with a quick little problem I have. For physics we had to build a roller coaster, i am in the process of calculating the work done by the frictional forces throughout the course. Here's the question; In loopdy loops, when the marble is on the side of the loop, where does the force of friction point? what about when the marble is at the top of the loop? I know where the normal force and gravity point, but am unsure as to whether friction applies in these case. Thanx :)
 
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friction opposes slipping

The friction would always be opposed to the motion of the marble. So its direction will always be tangential to the track at any point.

Of course, the magnitude of the friction force is another thing. I don't see any easy way to calculate it, especially for a rolling object like a marble. (If the marble is rolling without slipping, there will be no sliding friction.)
 

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