Scotch Yoke Mechanism - Animation , Advantages and Application

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A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In the Scotch yoke shown, the acceleration of point A is defined by the relation a=-1.8 sink t, where a and t are expressed in m / s^2 and seconds, respectively, and k=3 rad / s. Knowing that x=0 and v=0.6 m / s when t=0, determine the velocity and position of point A when