A 20-ft ladder weighing 70 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 180-lb person at the top (upper end). The coeffic ient of static friction at the floor is 0.25 and at the wall is also 0.25. (Note: wall and floor have frictional resistance. Example in book will help. The example is the one I uploaded in the 'Book Misprint' folder. Note that the location of the 180-lb person in this homework problem is at the very top of the ladder- not at D). a) Determine the smallest angle that the ladder can make with the floor before slipping begins. b) Determine the frictional force fbetween the floor and the lower end of the ladder.
A 20-ft ladder weighing 70 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 180-lb person at the top (upper end). The coeffic ient of static friction at the floor is 0.25 and at the wall is also 0.25. (Note: wall and floor have frictional resistance. Example in book will help. The example is the one I uploaded in the 'Book Misprint' folder. Note that the location of the 180-lb person in this homework problem is at the very top of the ladder- not at D). a) Determine the smallest angle that the ladder can make with the floor before slipping begins. b) Determine the frictional force fbetween the floor and the lower end of the ladder.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Can some one please help me to solve the following problems with neat hand written work and following all the given directions and showing all diagrams! PLEASE AND THANK YOU!!!
Transcribed Image Text:Answer the following questions as stated. Please show your work by showing the
formulas used and free-body diagrams as necessary. No free-body diagrams will receive
a score of zero.
1. A 20-ft ladder weighing 70 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 wal.
The ladder supports a 180-lb person at the top (upper end). The coefficient of static
friction at the floor is 0.25 and at the wall is also 0.25. (Note: wall and floor have
frictional resistance. Example in book will help. The example is the one I uploaded in the
'Book Misprint' folder. Note that the location of the 180-lb person in this homework
problem is at the very top of the ladder- not at D).
a) Determine the smallest angle that the ladder can make with the floor before
slipping begins.
b) Determine the frictional force fbetween the floor and the lower end of the ladder.
2. The ladder shown is supported by a horizontal floor and a vertical w all. It is 16 ft long,
weighs 48 lb (assumed to be concentrated at its midlength), and supports a person
weighing 200 Ilb at point D. The vertical wall is smooth and offers no frictional resistance.
The coefficient of static friction between the ladder and the floor is 0.30.
a) Determine the smallest angle that the ladder can make with the floor before
slipping begins.
b) Determine the frictional force f between the floor and the lower end of the ladder.
P = 200 lb
4' – 0"
В
4' - 0"
Wall
8' – 0"
W = 48 lb
A
Floor
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