1. Referring to Figure 5 and the information defining the two point-mass model, use Newton's Second...

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1. Referring to Figure 5 and the information defining the two point-mass model, use Newton's Second Law of Rotation to derive an equation of motion for . If done correctly you should have 5 terms: 1 each for {cose, sine, 0, 0, T}, with coefficients relating to the physical parameters defined in the model. 2. Again using the two point-mass model, develop an equation that predicts pitch moment of inertia about the pivot as a function of the masses and their locations with respect to the pivot. 1. Derivations of your following equations, showing all your steps: 1. Nonlinear equation of motion 2. Linearized equation of motion 3. Pitch moment of inertia equation 4. Damping ratio and natural frequency in terms of model parameters 5. Predicted natural settling angle from thrust 'Ty be, k(de/dt) 1TX T m+g ICWx Icwy mcwg Figure 5: Free body diagram of the helicopter as described by a two point-mass model 1. Referring to Figure 5 and the information defining the two point-mass model, use Newton's Second Law of Rotation to derive an equation of motion for . If done correctly you should have 5 terms: 1 each for {cose, sine, 0, 0, T}, with coefficients relating to the physical parameters defined in the model. 2. Again using the two point-mass model, develop an equation that predicts pitch moment of inertia about the pivot as a function of the masses and their locations with respect to the pivot. 1. Derivations of your following equations, showing all your steps: 1. Nonlinear equation of motion 2. Linearized equation of motion 3. Pitch moment of inertia equation 4. Damping ratio and natural frequency in terms of model parameters 5. Predicted natural settling angle from thrust 'Ty be, k(de/dt) 1TX T m+g ICWx Icwy mcwg Figure 5: Free body diagram of the helicopter as described by a two point-mass model