94 O D3 2. 92 C* R 93 91 H P 95 Assume that the disk...

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94 O D3 2. 92 C* R 93 91 H P 95 Assume that the disk and plane have a frictionless interface. The disk has 6 configuration variables, 1 holonomic constraint, 5 generalized coordinates, 0 non-holonomic constraints, and 5 generalized velocities. Derive the equations of motion using: 1) Kane's equations 2) Lagrange's equations or Newton-Euler equations As you derive the equations you will have to: a) choose your generalized coordinates (you can choose the generalized coordinates that the book uses if you prefer or use any others) b) choose your motion variables/generalized velocities for Kane's approach (and if you wish for the Newton-Euler approach) Show that both approaches give equivalent equations of motion. You can do this either (i) analytically (by deriving one set of equations from another), or (ii) semi-analytically (by numerically calculating the accelerations using the different sets of equations for the same assumed state, i.e., assumed values for generalized coordinates and generalized velocities), or (iii) computationally (by simulating the system using the different sets of equations for the same assumed initial condition). 94 O D3 2. 92 C* R 93 91 H P 95 Assume that the disk and plane have a frictionless interface. The disk has 6 configuration variables, 1 holonomic constraint, 5 generalized coordinates, 0 non-holonomic constraints, and 5 generalized velocities. Derive the equations of motion using: 1) Kane's equations 2) Lagrange's equations or Newton-Euler equations As you derive the equations you will have to: a) choose your generalized coordinates (you can choose the generalized coordinates that the book uses if you prefer or use any others) b) choose your motion variables/generalized velocities for Kane's approach (and if you wish for the Newton-Euler approach) Show that both approaches give equivalent equations of motion. You can do this either (i) analytically (by deriving one set of equations from another), or (ii) semi-analytically (by numerically calculating the accelerations using the different sets of equations for the same assumed state, i.e., assumed values for generalized coordinates and generalized velocities), or (iii) computationally (by simulating the system using the different sets of equations for the same assumed initial condition).