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For this assignment, you must find the equations of motion for a rotating system and a translating system. The equation of motion for a
For this assignment, you must find the equations of motion for a rotating system and a translating system. The equation of motion for a single DOF system is just the equivalent mass, damper and spring terms times the appropriate derivative of the degree of freedom; acceleration, velocity and displacement, respectively. For example, the equation of motion for a rotation system is shown below, where Jeq is the mass moment of inertia, Ct_eq is the equivalent rotational damping coefficient, and Kt_eq is the equivalent rotational spring rate. Jego + Ct_ego + Kt_eq = 0 And the equation of motion for a translating system is shown below, where meq is the equivalent mass, Ceq is the equivalent damping coefficient and Keq is the equivalent spring rate. meqx+ Ceqt + Keqx = 0 A cylinder of mass in and mass moment of inertia JO rolls without slipping on the ground and is constrained by two springs of stiffnesses kl and k2. Find the equation of motion with respect to theta Upload k 000 Choose a File m, Jo R Submit the equivalent moment of inertia and the equivalent torsional spring rate. k
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