Static equilibrium of a window washer

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SUMMARY

The discussion centers on solving two static equilibrium problems involving a ladder and a wheelchair. The first problem requires calculating the coefficient of static friction between a ladder and the ground, which remains stable at angles greater than 75° and slips at angles less than 75°. The second problem involves estimating the force required to roll a wheelchair over a curb, necessitating the use of free-body diagrams and torque analysis. Key concepts include torque equilibrium and the relationship between frictional force and normal force.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of torque and its calculations
  • Familiarity with free-body diagrams
  • Basic concepts of friction, specifically static friction
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  • Study the calculation of torque in static systems
  • Learn how to construct and analyze free-body diagrams
  • Research the coefficient of static friction and its applications
  • Explore estimation techniques for force calculations in physics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding static equilibrium and its applications in real-world scenarios, such as engineering and mechanics.

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I was given 2 problems based on statics and I was wondering if anyone could help.
Thank you - we just learned the concepts of statics TODAY and were given an assignment immediately, so any help would be appreciated.



A window washer attempts to lean a ladder against a frictionless wall. He finds that the ladder slips on the ground when it is placed at an angle of less than 75◦ to the ground but remains in place when the angle is greater than 75◦. Find the coefficient of static friction between the ladder and the ground


I know that:
To be static, Torque - F(r)sinthetha and that Torque(net) = 0
Coefficient of static friction = F(friction) / Normal
I think I might have to split it into components...


AND

Estimate the magnitude of the force F an average person must apply to a wheelchair’s main wheel to roll up over a sidewalk curb. This main wheel, which is the one that comes in contact with the curb, has a radius r, and the height of the curb is h.

I always have trouble with estimation problems. I don't know where to begin.
 
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First thing: make a drawing: the ladder with the ground and the wall for the first problem and slope and wheelchair for the second problem. Find and draw all forces (make a free-body diagram). Find the sum of both the horizontal and vertical force components. Find the net torque. All the sums are zero. Solve the system of equations.

ehild
 

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