Applied Mechanics and Graphic Statics
‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

e = v₁ - v₂/u₂ + u₁
e = v₂ - v₁/u₁ - u₂
e = v₁ - v₂/u₂ - u₁
e = u₂ - u₁/v₁ - v₂

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

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