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

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

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Algebraic sum of the forces is zero
Two resolved parts in any two directions at right angles are equal
Sum of resolved parts in any two directions at right angles, are both zero
Algebraic sum of the moments of the forces about the point is zero

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