Page 1 of 7 Assignment 2 Top Dynamics is a well treated rigid body problem. It has been investigated in chapter 12 of your textbook, as well as many other Advanced Dynamics books. a. Redo the Example 755 and prove Equations (12.603)-(12.605) and find the three integrals of motions and compare them with Example 672. b. Solve the three integrals of motion and determine the Euler frequencies as it has been done in the Example. c. Use I1=sum of digits of your student number, and I3=(sum of digits of your student number)/the last digit, and describe and plot the possible motion of the top for any initial Euler angles. Use Euler frequencies of Theta-dot=0 and Phi-dot=0. Use Psi-dot=100 rad/s.Page 2 of 7Page 3 of 7Page 4 of 7Page 5 of 7Page 6 of 7Page 7 of 7