Circular Motion Problem: An Adventure inside Spinning Cylinders

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SUMMARY

The discussion focuses on calculating the minimum coefficient of static friction required to prevent a 60.0 kg person from sliding against the inner wall of a rotating cylinder with a radius of 10.0 m and a period of 2.00 seconds. The relevant equation used is Fnet = (4m∏^2R)/T^2, which relates the net force to the mass, radius, and period of rotation. The key condition established is that the frictional force must be sufficient to counteract the gravitational force acting on the person.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Knowledge of static friction and its coefficient
  • Familiarity with the concepts of force and mass
  • Ability to manipulate equations involving angular motion
NEXT STEPS
  • Calculate the minimum coefficient of static friction using the provided equation
  • Explore the relationship between angular velocity and centripetal force
  • Study the effects of varying the radius and period on static friction requirements
  • Investigate real-world applications of circular motion in engineering contexts
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to explain the principles of static friction in rotating systems.

victoration1
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Homework Statement



A 60.0 kg person is stuck against the inner wall of a rotating cylinder.
The radius of the cylinder is 10.0 m and the period is 2.00s. What is the
minimum coefficient of static friction required to stop him from sliding?


Homework Equations



Fnet = (4m∏^2R)/T^2



The Attempt at a Solution



Tried to understand the problem; could not even. What is the condition for not sliding?
 
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victoration1 said:

Homework Statement



A 60.0 kg person is stuck against the inner wall of a rotating cylinder.
The radius of the cylinder is 10.0 m and the period is 2.00s. What is the
minimum coefficient of static friction required to stop him from sliding?

Homework Equations



Fnet = (4m∏^2R)/T^2

The Attempt at a Solution



Tried to understand the problem; could not even. What is the condition for not sliding?
"What is the condition for not sliding?"
The frictional force needs to be great enough to cancel the gravitational force.​
 

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