Uniform Circular Motion of coffee cup

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SUMMARY

The discussion centers on calculating the minimum coefficient of static friction required to prevent a coffee cup from slipping on a car's dashboard while taking a corner with a radius of 4 meters at a speed of 20 km/h. The relevant formula for this problem is Fc = mv²/R, where Fc represents the centripetal force. Participants emphasize the importance of understanding static friction and encourage users to demonstrate effort in problem-solving before seeking assistance.

PREREQUISITES
  • Understanding of centripetal force and its formula (Fc = mv²/R)
  • Knowledge of static friction and its coefficient
  • Basic physics concepts related to motion and forces
  • Ability to convert units (e.g., km/h to m/s)
NEXT STEPS
  • Research the concept of centripetal acceleration and its applications
  • Learn how to calculate the coefficient of static friction in different scenarios
  • Study the effects of speed and radius on frictional forces in circular motion
  • Explore practical examples of static friction in everyday situations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of circular motion and friction in real-world applications.

buonastella
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Homework Statement


  1. Kim has her coffee cup on her car's dash when she takes a corner with radius 4 m and 20 km/h. What is the minimum coefficient of static friction which would allow the coffee cup to stay there without slipping?

Homework Equations


Can someone show me the steps in how they answered it

The Attempt at a Solution


I know I have to use Fc = mv^2/R but I just honestly have no idea what I'm doing
 
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For the cup, which force provides centripetal acceleration?
 
Do you know what a static coefficient of friction is? If not, you need to do some reading.

https://en.wikipedia.org/wiki/Friction

You need to show some level of effort before people will help you. Asking for somebody to "show me the steps" will not get you a happy glowing response. If you are stuck on a particular part please come back and ask.
 
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