Question

Q1. The Scotch-Yoke mechanism converts rotational motion of the disk to oscillatory translation of the shaft as shown below. a) Write position loop closure equation of the mechanism by indicating position vectors using two letters (i.e.AB, BC, etc.). Show the position vectors drawn as arrows and joint variables on the illustration clearly. b) Write position loop closure equation of the mechanism, by indicating vectors using complex numbers in exponential form. c) Write velocity loop closure equation of the mechanism, by indicating vectors using complex numbers in exponential form. Simplify the equations if applicable. d) Write accelaration loop closure equation of the mechanism, by indicating vectors using complex numbers in exponential form. Simplify the equations if applicable. e) For given values of 0, , a, r and d, and using closure equations found in parts (b) to (d), determine position, velocity and acceleration of point P. Note: @= ,a=0. y, Im ------X, Re d- Figure: The Scotch-Yoke mechanism

Answer 1

+x, Re Åt AB + BP = 0 (6) rot rosin o let de o = xelo xió © t mcncde la ico _ro² e io tiröclotros oë e i7/2 - rsimo 8 ²e-1/2 = rneio. (d) Position is reas in (6) Velocity is x as in (c) Acceleration is as in (d)