Consider a single pendulum having distributed mass as shown below. The pendulum has length 0.375 m with a mass of 0.525 kg. Write the Newton-Euler formulation for this component. Use the symbolic manipulator to obtain 0(t), R., and Ry. Use an initial position condition of 0 of 45 with no initial velocity. Plot the angular position, velocity, acceleration, as well as the reaction forces in the x and y directions at the pivot for 5 oscillations. In addition, plot the y position of the end of the rod against the x position of the end of the rod. This will show the motion of the pendulum. At what angle would a small angle approximation not be valid? Is the resultant reaction force in line with the pendulum link? Extra credit-Animate the plot by plotting a line to the screen from the origin to the end point. y L A X