You are asked to design a slider crank and rocker mechanism such that you achiev

Question

You are asked to design a slider crank and rocker mechanism such that you achieve a slider movement output of: x(t) = D + 0.2(1 - costheta), where theta is the angle of the input crank relative to the horizontal axis. The center of the input crank, D, is given for the mechanism as lm from the slider horizontally when the shaft is vertical and the slider is on the same vertical alignment (as per an in-line slider mechanism). The input shaft rotates clockwise at a fixed 600 revolutions per minute. The rocker is to be connected to the slider and needs to be designed such that the end moves in a 2m radius curve through an angle of +/-30degree. Refer figure 1.

Explanation / Answer

Here, x(t) = D + 0.2(1 - cos(theta))

=>   v = dx/dt =   0.2 * sin(theta) * d(theta)/dt

=>   Here, theta = 30 degree

               d(theta)/dt = w = angular velocity = 600 rpm

                                                                       = 62.8 rad/sec

=>    velocity =   0.2 * sin(30) * 62.8

                       = 6.28 m/sec

=> slider crank should have velocity = 6.28 m/sec

=>   arm length of slider crank =   6.28/62.8

                                                =    0.1 m

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