Create Simulation using MATLAB and SIMULINK

There are three total assignments but you can choose only one to do. (No need to do all 3) #1: Create a simulation for user-inputted moments of inertia and angular velocity vector in the principal body frame, it creates an animation of the attitude motion in a Torque-Free environment for a box with respect to an inertial frame. Assume that angular momentum is aligned with the 3rd axis of the inertial frame. Show the polehod as the angular velocity vector traces it in the inertial frame. #2: Create a simulation for user-inputted axial and transverse moments of inertia for an axisymmetric cylinder that starts the motion about its axial moment of inertia. Show how the leak of energy with a rate that the user can specify changes the motion. You must check that if you start with a prolate object, after a certain time, the motion should transfer to rotation about the transverse axis, similar to the case of Explorer I. #3: Consider the stability augmentation problem. Create a simulation for user-inputted moments of inertia, the magnitude of the angular velocity, and the axis of rotation {-x,x,-y,y,-z,z}, the system shows the response of the system to small perturbations (which can be modeled with small initial conditions on your Euler's EOM). Let the user define the gains (K and K_s from the notes) and show how the motion will be affected. Use a box to simulate the object and show plots of the system's response about each axis.