Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force and resultant couple both may not be zero
The resultant force is zero but resultant couple is not zero
The resultant force and resultant couple are always zero
The resultant force is zero but resultant couple may not be zero

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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

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

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