Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 12, Problem 37P
To determine
To Evaluate:The angle of ladder from horizontal.
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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 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.
Chapter 12 Solutions
Physics for Scientists and Engineers, Vol. 1
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- 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?arrow_forwardA 3.0 m long ladder leans against a frictionless wall at an angle of 60°. What is the minimum value of the coefficient of static friction that prevents the ladder from slipping?arrow_forwardOne end of a 2.00 m uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle θ with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.530. What is the maximum value that θ can have if the stick is to remainin equilibrium?arrow_forward
- 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?arrow_forwardA 3.0-m-long ladder leans against a wall at an angle of 60° with respect to the floor. What is the minimum value of μs , the coefficient of static friction with the ground, that will prevent the ladder from slipping? Assume that friction between the ladder and the wall is negligible.arrow_forwardA ladder leans against a wall 5 meters above the ground so a homeowner can clear his gutters of leaves from last fall. The bottom of the ladder just begins to slip when it is 7.1 meters from the wall. What is the coefficient of static friction between the bottom of the ladder and the ground?arrow_forward
- A stick which is 1.51 meters long is leaned against a wall at an angle. If the coefficient of static friction between the stick and the wall and floor is 0.395, determine the furthest distance from the wall that the bottom of the stick may be placed without slipping.arrow_forwardA uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0 m from the wall. The ladder weighs 160 N. The coefficient of static friction between the foot of the ladder and the ground is 0.40. A man weighing 740 N climbs slowly up the ladder. (a) What is the maximum friction force, in Newtons, that the ground can exert on the ladder at its lower end? (b) What is the actual friction force, in Newtons, when the man has climbed 1.0 m along the ladder? (c) How far, in meters, along the ladder can the man climb before the ladder starts to slip?arrow_forwardA uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is µ = 0.385, determine the smallest angle the ladder can make with the floor without slipping.arrow_forward
- A uniform board is leaning against a smooth vertical wall. The board is at an angle above the horizontal ground. The coefficient of static friction between the ground and the lower end of the board is 0.890. Find the smallest value for the angle , such that the lower end of the board does not slide along the ground.arrow_forwardA uniform board is leaning against a smooth vertical wall. The board is at an angle θ above the horizontal ground. The coefficient of static friction between the ground and the lower end of the board is 0.650. Find the smallest value for the angle θ, such that the lower end of the board does not slide along the ground.arrow_forwardA 6 m long, uniform ladder leans against a frictionless wall and makes an angle of 71.6◦ with the floor. The ladder has a mass 26.6 kg. A 69.16 kg man climbs 82% of the way to the top of the ladder when it slips and falls to the floor. What is the coefficient of static friction between the ladder and the floor?arrow_forward
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