Any time you have to climb a ladder, you want the ladder to remain in static equilibrium. At what angle should a 60-kg painter place his ladder against the wall in order to climb two-thirds of the way up the ladder and have the ladder remain in static equilibrium? The ladder's mass is 10 kg and its length is 6.0 m. The exterior wall of the house is very smooth, meaning that it exerts a negligible friction force on the ladder. The coefficient of static friction between the floor and the ladder is 0.50.

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
icon
Related questions
Question
Physics Problem about Torque and forces. Show the location of the axis of rotation and r for each force that produces torque in the diagram. Also, check calculations, I am off by 1 degree.
Given
, F loor = mpig+mey
し= Gmm
M= bekg
686N
Sfyc0 Friction force M FNi Fioo
Co. 50) C686) = 343M
FNgW
L=6m
wall
smooth
TN, Froor
Et=0
X 2 Cose +
X 4 cos.@ t Fx 6 sin@-Mx€s
mcg
ノp
X6.
X 2COS@ + 1o x9.8 x4 cos @ + 343 x6sinô- 686cose-o
1| 76 Cos Lo) t 392 (o5 6 2058 sin @ - 4116 CosO-
2548 Cos ☺.t2058Sin 6
60
こ6
cos @
cos ê
-25 48 + 2058 tan Co)0
+2548
> 2058 tan 8=2548
2058
2058
+ 2 548
tan e=26, =e=tan C26 ) =51.1
21
angie made byg ladder with verticol wall= 90-51.1= 38.9
Transcribed Image Text:Given , F loor = mpig+mey し= Gmm M= bekg 686N Sfyc0 Friction force M FNi Fioo Co. 50) C686) = 343M FNgW L=6m wall smooth TN, Froor Et=0 X 2 Cose + X 4 cos.@ t Fx 6 sin@-Mx€s mcg ノp X6. X 2COS@ + 1o x9.8 x4 cos @ + 343 x6sinô- 686cose-o 1| 76 Cos Lo) t 392 (o5 6 2058 sin @ - 4116 CosO- 2548 Cos ☺.t2058Sin 6 60 こ6 cos @ cos ê -25 48 + 2058 tan Co)0 +2548 > 2058 tan 8=2548 2058 2058 + 2 548 tan e=26, =e=tan C26 ) =51.1 21 angie made byg ladder with verticol wall= 90-51.1= 38.9
Any time you have to climb a ladder, you want the ladder to remain in static equilibrium. At
what angle should a 60-kg painter place his ladder against the wall in order to climb two-thirds
of the way up the ladder and have the ladder remain in static equilibrium? The ladder's mass is
10 kg and its length is 6.0 m. The exterior wall of the house is very smooth, meaning that it
exerts a negligible friction force on the ladder. The coefficient of static friction between the floor
and the ladder is 0.50.
Transcribed Image Text:Any time you have to climb a ladder, you want the ladder to remain in static equilibrium. At what angle should a 60-kg painter place his ladder against the wall in order to climb two-thirds of the way up the ladder and have the ladder remain in static equilibrium? The ladder's mass is 10 kg and its length is 6.0 m. The exterior wall of the house is very smooth, meaning that it exerts a negligible friction force on the ladder. The coefficient of static friction between the floor and the ladder is 0.50.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Center of Gravity and Centroid
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY