Friction in a contact between a pulley and a string

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SUMMARY

The discussion focuses on deriving a formula for friction in a system involving a pulley and a string, where a hanging mass causes the pulley to spin. Key variables include tension (T), hanging mass, pulley radius, disk mass, disk radius, and angular acceleration. The relevant equations mentioned are Torque = I(mr^2)*(angular acceleration) and Fnet = Fg - T - Ff. The participants seek clarification on whether the string slips over the pulley, which is crucial for accurately calculating friction.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with rotational dynamics and torque calculations
  • Knowledge of frictional forces and their impact on motion
  • Basic grasp of angular acceleration and its relation to linear motion
NEXT STEPS
  • Research the concept of static vs. kinetic friction in pulley systems
  • Learn how to apply the rotational dynamics equations to real-world problems
  • Explore the effects of string tension on pulley motion
  • Investigate the role of angular acceleration in determining frictional forces
USEFUL FOR

Physics students, mechanical engineers, and anyone studying dynamics and friction in rotational systems will benefit from this discussion.

Elleboys
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Homework Statement


I need to find a formula for the friction in the system.
I had a disk and a pulley connected to a rotation sensor on each side.
I wrapped a pulley with a string and there was a small mass attached to the bottom.
As I let that mass fall, it would fall and spin a pulley.
What would be the formula for the friction in the system?

*Given variables are T, Hanging mass, pulley radius, disk mass, disk radius, and angular acceleration

Homework Equations


Torque = I(mr^2)*(angular acceleration)
Fnet = Fg-T-Ff

The Attempt at a Solution

 
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Welcome to PF;
Does the string slip over the pulley?

How is friction usually figured out?
 

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