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
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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°
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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