Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_167

*5/167 For the slider-crank configuration shown, derive the expression for the velocity \( v_A \) of the piston (taken positive to the right) as a function of \( \theta \). Substitute the numerical data of Sample Problem 5/15 and calculate \( v_A \) as a function of \( \theta \) for \( 0 \le \theta \le 180^\circ \). Plot \( v_A \) versus \( \theta \) and find its maximum magnitude and the corresponding value of \( \theta \). (By symmetry anticipate the results for \( 180^\circ \le \theta \le 360^\circ \).)