Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)
sin (α + β)/sin (α - β)
tan (α - β)/tan (α + β)

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

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