Applied Mechanics and Graphic Statics
Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

Its shorter side
The diagonal of the parallelogram which passes through the point of intersection of the forces
Its longer side
The diagonal of the parallelogram which does not pass through the point of intersection of the forces

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

a rectilinear motion with constant speed
a simple harmonic motion
None of these
a damped oscillatory motion

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

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