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Static Slip
Static Slip
How far up the ladder can an 810 N person climb before the ladder begins to slip?


An 8.0 m, 270 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.65, and the ladder makes a 50.0° angle with the ground. How far up the ladder can an 810 N person climb before the ladder begins to slip

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Light Shine's Through - Original by Static Ian.



What is the minimum coefficient of static friction so that the people will not slip down?


In a "Rotor-ride" at a carnival, people are rotated in a cylindrically walled "room." The room radius is 4.3 m, and the rotation frequency is 0.4 revolutions per second when the floor drops out.

What is the minimum coefficient of static friction so that the people will not slip down?

In this case the Normal force is the centripetal force = mV²/R = Fn
{where m = mass of person}
R = 4.3 m
V = tangential speed = 0.4 rev/sec x 2π rad/rev x 4.3 m = 10.8 m/s
The coefficient of static friction = µs
Force that acts to pull a person from wall is their weight = mg
{where m = mass of person)
Force of static friction = FFs = µs x Fn = µs(m)(10.8)²/4.3 = (µs)(m)(27)

The minimum µs:
FFs = mg
µs(m)(27) = mg
cancel m's
µs = g/27 = 9.81/27 = 0.36 ANS

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