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

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Applied Mechanics and Graphic Statics
The following is not a law of static friction:

The force of friction always acts in a direction opposite to that in which the body tends to move
The force of friction is dependent upon the area of contact
The force of friction depends upon the roughness of the surface
The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces

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Applied Mechanics and Graphic Statics
When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

g(M2 × M1 sin α)/(M2 - M1­) m/sec²
g(M1 - M2 sin α)/(M1 + M2­) m/sec²
g(M1 + M2 sin α)/(M1 + M2­) m/sec
g(M2 + M1 sin α)/(M1 + M2­) m/sec²

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