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

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

A couple can be never the balanced by a single force
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

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Applied Mechanics and Graphic Statics
The force acting on a point on the surface of a rigid body may be considered to act

At the centre of gravity of the body
At any point on the surface normal to the line of action of the force
On any point on the line of action of the force
On the periphery of the body

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

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