Plotting rotational variables Continuing on with using the human body as a physics apparatus, it's time to try an experiment with your leg! First, find a comfortable place where you can sit and swing your legs freely. This could be an office chair which you raise to the point where your feet do not touch the ground, a table top (which can support your weight!), picnic table, or any other location where you sit and swing your legs freely from your knees Your task is to create a sketch of your foot's motion as you GENTLY swing your foot from directly under you, to a fully extended position. Try rocking your foot back and forth a few times and imagine how the foot's angular displacement, velocity, and acceleration are changing over time. Imagine that the angular displacement is zero when your foot is resting directly underneath you. Now try repeating the experiment, but find a way to increase the mass of your foot. Not by eating a hefty meal, or doing any surgical procedures! Simply put on a pair of heavy boots, tie or tape a bottle of water to your foot, or place your cat on your foot as you GENTLY swing your foot from directly underneath you, to the extended position. Most importantly, do NOT overexert yourself or harm any animals while performing this experiment! One or two extra kilograms is sufficient to conduct the experiment. Once the weight is on your foot, slowly and steadily sweep your foot through the same motion as you did above. As you do so, think about the rotational kinematic variables discussed above. 11. Which kinematic variables are similar and which are different between the two scenarios, moving your foot alone, and moving your foot with extra mass? 12. Make a sketch of the angular acceleration of your foot (including the extra mass) as a function of time. 13. In the space below, as clearly as you can with the definitions learned thus far, explain why it was more difficult to move your foot through the same motion, with the extra mass. Now take that extra mass and attach it to your calf. That could be using the boot strings to tie it closely to your upper calf muscle, use a belt to keep the water bottle near your knee. It is important that you use the same amount of mass as you did before #11. The only variable you want to change is the location of the mass on your lower leg