Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (2/3) sin 6
less than (1/3) sin 6
less than (1/3) tan 0
less than (2/3) tan 0

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Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Algebraic sum of the resolved parts of the forces in the direction
Difference of the forces multiplied by cosine θ°
Sum of the forces multiplied by the tangent θ°
Arithmetical sum of the resolved parts of the forces in the direction

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