For the slider-crank configuration shown, derive the expression for the velocity vA of t...

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 θ. Substitute the numerical data of Sample Problem 5 /15 and calculate v_A as a function of θ for 0 ≤ θ ≤ 180°. Plot v_A versus θ and find its maximum magnitude and the corresponding value of θ. (By symmetry anticipate the results for 180° ≤ θ ≤ 360°.)