Angular position: Taking the swing to start at an orientation of 30 o with the vertical, plot its angular\ position in degrees versus time in seconds.\ i. A correct formula is shown for the orientation as a function of time\ ii. Plot is correct\ iii. Abscissa and ordinate labeled with units\ iv. Title provided\ 2. Angular velocity:\ a. Write down a formula for the angular velocity (in rad/s) of the swing.\ i. Formula written clearly and is correct\ b. Plot this versus time for two cycles (use two cycles for all subsequent plots).\ i. Plot is correct\ ii. Abscissa and ordinate labeled with units\ iii. Title provided\ 3. Centrifugal acceleration:\ a. Write down a formula for the magnitude of centrifugal acceleration.\ i. Formula written clearly and is correct with a simple reason\ b. Plot this versus time.\ i. Plot is correct\ ii. Abscissa and ordinate labeled with units\ iii. Title provided\ 4. Chain tension:\ a. Draw a free body diagram of the swinging weight\ i. Free body diagram is neat and legible\ ii. All the forces are marked\ iii. All the relevant distances and angles are shown\ b. Write equations of equilibrium to determine the tension, T, in each of the two chains.\ i. Equation of equilibrium is correct\ ii. A correct formula is derived for the chain tension\ c. Plot the tension as a function of time.\ i. Plot is correct\ ii. Abscissa and ordinate labeled with units\ iii. Title provided\ 5. Bending moment components in the beam\ a. Draw a front view of the free body diagram of the beam.\ i. Free body diagram is neat and legible\ ii. All the forces are marked\ iii. All the relevant distances and angles are shown\ b. Compute the midspan bending moment in the beam in the vertical plane.\ i. Equation of equilibrium is correct\ ii. A correct formula is derived for the component of beam bending moment in the vertical plane\ c. Draw a top view of the free body diagram of the beam.\ i. Free body diagram is neat and legible