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

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

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Applied Mechanics and Graphic Statics
Newton’s Law of Motion is:

The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
All listed here
Everybody continues in its state of rest or of uniform motion in a straight line, unless it is acted upon by some external force
To every action, there is always an equal and opposite reaction

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

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