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
The necessary condition of equilibrium of a body is:

Algebraic sum of the moments of the forces about a point must be zero
Algebraic sum of horizontal components of all the forces must be zero
All (A), (B) and (C)
Algebraic sum of vertical components of all the forces must be zero

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