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

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Applied Mechanics and Graphic Statics
The following is in unstable equilibrium

A satellite encircling the earth
A uniform solid cone resting on its base on a horizontal plane
A solid cube resting on one edge
A uniform solid cone resting on a generator on a smooth horizontal plane

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