For a slider crank mechanism CO is the crank & O is the crank centre. CP is the connecting rod and OP is the line joining the crank centre and the pin joint at the slider. The crank angle is α and the connecting rod makes an angle β with OP. The velocity of slider is
Vc Cos {90-( ∝ + β )} Cos β
Vc Cos {90-( ∝ + β )} Sec β
Vc Cos {90-( ∝ - β )} Sin β
Vc Cos {90-( ∝ - β )} Cos β
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Noting s =se-sf =stroke = the distance slider travels between dead-centres. If we let l= a2/a3 and e = c/a3 , the stroke will be given by: If the eccentricity, c (or a1), is zero ( c = 0) the slider crank mechanism is called an in-line slider-crank and the stroke is twice the crank length (s = 2a2).
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