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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Applied Mechanics and Graphic Statics
The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Half the original velocity in the opposite direction
Original velocity in the opposite direction
Half the original velocity in the same direction
Original velocity in the same direction

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