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

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Applied Mechanics and Graphic Statics
Kinetic friction may be defined as

Friction force acting when the body is in motion
Angle between normal reaction and resultant of normal reaction and limiting friction
Friction force acting when the body is just about to move
Ratio of limiting friction and normal reaction

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