Finding the coefficient of static friction in a centripiton force equation

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SUMMARY

The discussion focuses on calculating the coefficient of static friction required to prevent a laptop from sliding on a bus seat during a turn. Given the bus's speed of 10 m/s and a turn radius of 25 m, the centripetal acceleration is determined using the formula ac = v²/r. The participants emphasize the importance of using a free-body diagram and the equation ∑F = ma to analyze the forces acting on the laptop.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula (ac = v²/r)
  • Knowledge of free-body diagrams for analyzing forces
  • Familiarity with Newton's second law (∑F = ma)
  • Concept of static friction and its coefficient
NEXT STEPS
  • Calculate the centripetal force acting on the laptop using the derived acceleration.
  • Determine the normal force acting on the laptop based on its weight.
  • Use the relationship between frictional force and normal force to find the coefficient of static friction.
  • Explore real-world applications of static friction in vehicle dynamics.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of static friction in motion scenarios.

nikni
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Homework Statement




a bus passanger has her laptop sitting on the seat next to her while the bus moves at 10m/s, the bus goes around a turn with a radius of 25m. what is the coefficient of static friction in order to keep the laptop from sliding?

Homework Equations





The Attempt at a Solution


ff=πfn
ac=v^2 /r
cant figure out the correct formula of formulas to use
 
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It's a force problem, so ∑F=ma is a good one to consider using.

As with all force problems, start by drawing a free-body diagram.
 

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