1. A 20-ft ladder weighing 65 lb (assumed concentrated at its mid-length) rests on a vertical plane with its lower end on a horizontal floor and its upper end against a vertical wall. The ladder supports a 160-lb person at the top (upper end). The coefficient of static friction at the floor is 0.30 and at the wall is also 0.20. (Note that the location of the 160- lb person in this homework problem is at the very top of the ladder). Show free-body diagram(s) a) Determine the smallest angle that the ladder can make with the floor before slipping begins. b) Determine the frictional force between the floor and the lower end of the ladder.
1. A 20-ft ladder weighing 65 lb (assumed concentrated at its mid-length) rests on a vertical plane with its lower end on a horizontal floor and its upper end against a vertical wall. The ladder supports a 160-lb person at the top (upper end). The coefficient of static friction at the floor is 0.30 and at the wall is also 0.20. (Note that the location of the 160- lb person in this homework problem is at the very top of the ladder). Show free-body diagram(s) a) Determine the smallest angle that the ladder can make with the floor before slipping begins. b) Determine the frictional force between the floor and the lower end of the ladder.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.50P: The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the...
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