An aerialist is to make a triple somersault during a jump to her partner lasting for the time t = 1.87 s. For the first and last quarter revolution she is in the extended orientation with rotational inertia I1 = 19.9 kgm2 . During the rest of her flight, she is in a tuck position with rotational inertia I2 = 5.50 kgm2 .

a. What must her initial angular speed ω1 be around her centre of mass in order to complete the triple somersault?
b. If she now attempts a quadruple somersault, with the same ω1 and t, by using a tighter tuck, what must her rotational inertia I2 be during the tuck?
c. How long does it take for one rotation in the quadruple somersault?

Which of the following are properties of mechanical waves? check all that apply ⭕️ particles of the medium move back and fourth, but do not move with the wave. ⭕️ the particles of the medium always move parallel to the wave motion. ⭕️ wave motion begins with a disturbance in the medium. ⭕️ waves transport energy from a source outward, away from the source.

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?

Which of the following is another term for a planned economy