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

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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

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

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