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

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Applied Mechanics and Graphic Statics
The characteristic of a couple is:

Algebraic sum of forces, constituting a couple is zero
All listed here
Algebraic sum of moments of forces, constituting a couple, about any point, is same
A couple can be never the balanced by a single force

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