Consider a single pendulum having distributed mass as shown below. The pendulum has length 0.375 m...

Transcribed Image Text:

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 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

Answer rating: 100% (QA)

To derive the NewtonEuler formulation for the single pendulum with distributed mass we need to consider the forces acting on the pendulum and apply Newtons second law and Eulers equation Lets denote t... View the full answer