How much does a ladder lean against a frictionless wall?
A 4 meter ladder leans against a frictionless wall at a 30 degree angle. The mass of the ladder is 10 kg. A human stands 1 meter up the ladder and has a mass of 70 kg. What is the minimum coefficient of static friction between the floor and the ladder so that the ladder doesn’t slip? Here is the solution—in video form.
What is the coefficient of friction between a ladder and the floor?
A ladder is leant against the wall. The coefficient of the static friction μsw between the ladder and the wall is 0.3 and the coefficient of the static friction μsf between the ladder and the floor is 0.4. The centre of mass of the ladder is in the middle of it. Find the minimum angle that the ladder can form with the floor not to slip down.
What are the forces acting on a sliding ladder?
Forces →Ff and →Fw (by which the surface affects the ladder in the points where it stands or leans) affect perpendicular both the wall and the floor. The friction forces →Fff between the ladder and the floor or →Ffw between the ladder and the wall, which act against the direction of the slipping ladder, are tangetial to the surface.
What is the mass of a 4 meter ladder?
A 4 meter ladder leans against a frictionless wall at a 30 degree angle. The mass of the ladder is 10 kg. A human stands 1 meter up the ladder and has a mass of 70 kg. What is the minimum coefficient of static friction between the floor and the ladder so that the ladder doesn’t slip?
What is the coefficient of static friction between the ladder and wall?
The coefficient of the static friction μsw between the ladder and the wall is 0.3 and the coefficient of the static friction μsf between the ladder and the floor is 0.4. The centre of mass of the ladder is in the middle of it. Find the minimum angle that the ladder can form with the floor not to slip down.
What are the forces acting on the ladder?
Hint 1. Forces →Ff and →Fw (by which the surface affects the ladder in the points where it stands or leans) affect perpendicular both the wall and the floor. The friction forces →Fff between the ladder and the floor or →Ffw between the ladder and the wall, which act against the direction of the slipping ladder, are tangetial to the surface.