Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Sum of the forces multiplied by the tangent θ°
Difference of the forces multiplied by cosine θ°
Arithmetical sum of the resolved parts of the forces in the direction
Algebraic sum of the resolved parts of the forces in the direction

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l sin ϕ + r cos φ tan θ)
ω² (l sin ϕ - r cos θ tan ϕ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l cos ϕ + r sin ϕ tan θ)

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