Static equilibrium of a window washer

AI Thread Summary
The discussion revolves around solving two static equilibrium problems involving a window washer and a wheelchair. For the ladder problem, the key is to determine the coefficient of static friction, which involves analyzing torque and force components at different angles. The second problem requires estimating the force needed to roll a wheelchair over a curb, emphasizing the importance of free-body diagrams and balancing forces. Participants suggest starting with drawings to visualize forces and applying equations for static equilibrium. Understanding these concepts is crucial for solving both problems effectively.
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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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Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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