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

The diagonal of the parallelogram which passes through the point of intersection of the forces
Its shorter side
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
A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

w sin (φ - θ)/cos φ
w cos (θ + φ)/cos φ
w sin (θ - φ)/cos φ
w sinθ cos(θ - φ)/sin φ

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