Equilibrium Problem: Solve & Find mu(min)=1

  • Thread starter Thread starter inky
  • Start date Start date
  • Tags Tags
    Equilibrium
Click For Summary
SUMMARY

The discussion revolves around solving an equilibrium problem where the coefficient of friction, μ(min), is determined to be 1. The key equations involved are the summation of forces in both x and y directions, as well as the summation of torques equating to zero. The friction force remains constant at 4N, and slipping occurs when the static friction maximum (μR) drops below this value. The critical point of slipping is identified at the locations A, B, or C as μ is decreased.

PREREQUISITES
  • Understanding of static friction and its maximum value (μR)
  • Knowledge of equilibrium conditions in mechanics
  • Familiarity with summation of forces and torques
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of static and kinetic friction in detail
  • Learn about equilibrium conditions in mechanics, focusing on force and torque balance
  • Explore the concept of critical points in physical systems
  • Review problem-solving techniques for equilibrium problems in physics
USEFUL FOR

Students studying physics, particularly those focused on mechanics, as well as educators looking for examples of equilibrium problems and solutions.

inky
Messages
99
Reaction score
1

Homework Statement


Please see attachment.


Homework Equations



Summation F(x)=0

Summation F(y)=0

Summation tau=0

The Attempt at a Solution


Please see attachment.

I know how to calculate the problem but I don't know the last part of the solution why the examinar choose mu(min)=1. Please help me.Thank you.
 

Attachments

Physics news on Phys.org
You have already seen that the force of friction is the same 4N at all points. That's what's required to keep the system at equilibrium. Imagine starting with a large μ and reducing it gradually. Slipping will occur at the point where the maximum value that static friction can have (=μ R) goes just below the value 4 N first. So if you write

μR = 4 N,

at which of the three points A, B and C μR falls below 4 N first as you make μ smaller?
 
kuruman said:
You have already seen that the force of friction is the same 4N at all points. That's what's required to keep the system at equilibrium. Imagine starting with a large μ and reducing it gradually. Slipping will occur at the point where the maximum value that static friction can have (=μ R) goes just below the value 4 N first. So if you write

μR = 4 N,

at which of the three points A, B and C μR falls below 4 N first as you make μ smaller?

Thank you very much for explanation.Firstly I don't understand so I read many times your concept. Now I understand. I really appreciate you. Sorry for replying late.
 

Similar threads

Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
Replies
10
Views
1K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
14
Views
2K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
981
  • · Replies 5 ·
Replies
5
Views
2K
Replies
9
Views
4K