Fig. 2 Estimate of the number of men n needed to pull a sledge with a 123-ton stone corresponding to four different lubrication conditions: (A) sliding on a dirt road (12), (B) sliding on wet wood (1), (C) sliding on an ice path without a lubricating water film (15), and (D) Sliding on an iced road with a lubricating water film (15). F is the towing force. (E) Comparison of the coefficient of the friction u and the number of men n needed for conditions A-D. Copyright 2013 National Sciences Academy of

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Number of men, n
Fig. 2 Estimate of the number of men n needed to pull a sledge with a 123-ton stone corresponding
to four different lubrication conditions: (A) sliding on a dirt road (12), (B) sliding on wet wood (1),
(C) sliding on an ice path without a lubricating water film (15), and (D) Sliding on an iced road with
a lubricating water film (15). F is the towing force. (E) Comparison of the coefficient of the friction u
and the number of men n needed for conditions A-D. Copyright 2013 National Academy of
Sciences
Li, J., et al. (2013). "Ice lubrication for moving heavy stones to the Forbidden City in 15th- and 16th-
century China." Proceedings of the National Academy of Sciences 110(50): 20023-20027.
Transcribed Image Text:Number of men, n Fig. 2 Estimate of the number of men n needed to pull a sledge with a 123-ton stone corresponding to four different lubrication conditions: (A) sliding on a dirt road (12), (B) sliding on wet wood (1), (C) sliding on an ice path without a lubricating water film (15), and (D) Sliding on an iced road with a lubricating water film (15). F is the towing force. (E) Comparison of the coefficient of the friction u and the number of men n needed for conditions A-D. Copyright 2013 National Academy of Sciences Li, J., et al. (2013). "Ice lubrication for moving heavy stones to the Forbidden City in 15th- and 16th- century China." Proceedings of the National Academy of Sciences 110(50): 20023-20027.
Lubrication conditions 0
A Stone
B
C
D
Ground
F
Sledge
F
-Water film
Wood
Ice
F
0.23
0
0.22
F
0.03
Water film 46
Ice
Coefficient of kinetic friction,
0.9
0.3
354
338
300
0.6
Reasonable
1
Unlikely
1.2
1.5
1537
600
Number of men, n
900 1200 1500
E
Impractical
n
Transcribed Image Text:Lubrication conditions 0 A Stone B C D Ground F Sledge F -Water film Wood Ice F 0.23 0 0.22 F 0.03 Water film 46 Ice Coefficient of kinetic friction, 0.9 0.3 354 338 300 0.6 Reasonable 1 Unlikely 1.2 1.5 1537 600 Number of men, n 900 1200 1500 E Impractical n
Expert Solution
Step 1

Given:

There are different conditions for the coefficient of friction with respect to different surfaces.

(A) So for the sliding on the dirt road, the coefficient of friction is 1 and in that case:

The number of men required is:

nA=1537 .................answer

(B) For the sliding on wet wood, the coefficient of friction is 0.23.

So in this case the number of men required is:

nB=354 .................answer

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