Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = β/2 - π/2
α = π/4 - β/2
α = π/4 - β/2
α = π/2 + β/2

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

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