A ladder of length 12.0 m with a mass of 40.0 kg leans against a smooth wall. The ladder makes a 35.0o angle with the horizontal. Draw an adequate free body diagram of the ladder and determine the minimum coefficient of static friction between the ladder and the ground necessary to prevent the ladder from slipping.

A ladder of length 12.0 m with a mass of 40.0 kg leans against a smooth wall. The ladder makes a 35.0o angle with the horizontal. Draw an adequate free body diagram of the ladder and determine the minimum coefficient of static friction between the ladder and the ground necessary to prevent the ladder from slipping.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 25PQ: A painter of mass 87.8 kg is 1.45 m from the top of a 6.67-m ladder. The ladder rests against a...

See similar textbooks

Similar questions

Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
A painter of mass 87.8 kg is 1.45 m from the top of a 6.67-m ladder. The ladder rests against a wall. Friction between the ladder and the wall is negligible. The ladders mass is 5.50 kg. Assume the ladder is set up according to Occupational Safety and Health Administration standards so that it makes a 75.5 angle with the floor. a. What is the minimum coefficient of static friction required for the painters safety? b. Would rubber ladder tips on dry concrete be safe?
A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
A 100-N uniform ladder, 8.0 m long, rests against a smooth vertical wall. The coefficient of static friction between ladder and floor is 0.40. What minimum angle can the ladder make with the floor before it slips?
A 3.0-mm -long ladder, leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.50. What is the minimum angle the ladder can make with the floor without slipping?
A 10 m ladder with a mass of 15 kg leans against the wall. If the ladder is in static equilibrium, what must be the normal force from the ground, assuming the wall is frictionless? 30 N 73.5 N 147 N 15 N
A 5.0-m long, 12-kg uniform ladder rests against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. The coefficient of static friction between the floor and the ladder is 0.28. What distance, measured along the ladder from the bottom, can a 60-kg person climb before the ladder starts to slip?
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.165 and the coefficient of friction between the ladder and the wall is ?2=0.153 . Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
A 53.9 kg, 4.7 m uniform ladder leans against a frictionless wall. A 81.9 kg person is standing on the ladder down 0.76 m from the top of the ladder. The ladder makes an angle of 56 degrees with the horizontalWhat is the minimum coefficient of static friction between the ladder and the ground so that the ladder does not slip?
The positive direccion are indicated in the figure. The 880kg concrete bucket is in static equilibrium and the force in cable BC is 8000 N. 1. Determine the x component of the force BC, BCx =__N 2. Determine the Y component of the force BC,BCy=__N 3.Determinate the component of the force BA,BAx =__ N 4.Determinate the component of the force BA,BAy=__N 5. Determine the magnitude of force BA = __N 6. Determine the angle of the force BA =__°
A ladder of length L = 2.4 m and mass m = 14 kg rests on a floor with coefficient of static friction μs = 0.55. Assume the wall is frictionless. 1) What is the minimum angle the ladder must make with the floor to not slip? 2) A person with mass M = 61 kg now stands at the very top of the ladder. What is the minimum angle to keep the ladder from sliding?
One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. What is the maximum value thetheta can have if the stick is to remain in equilibrium?