Determine the minimum friction angle required between the cylinder and the slope for static equilibrium.
Determine the minimum friction angle required between the cylinder and the slope for static equilibrium.
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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Transcribed Image Text:A solid cylinder with mass m and radius R is held in position on a slope with angle = 30° by means of a string wrapped around the cylinder, which is pulled horizontally with tension T. Determine the minimum friction angle required between the cylinder and the slope for static equilibrium.
g
hints:
m, R
Ꮎ
T
draw an accurate Free Body Diagram to assist you with the geometry calculations;
• you do not need many calculations for this problem - think carefully about which point you might wish to take moment equilibrium;
• recall that tan(d) = μ where u is the friction coefficient between the cylinder and the slope.
O
= 10°
O = 30°
O = 12.5°
Ο Φ = 15°
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