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Thanks Use the Newtonian Method to derive the differential equation of motion (i

ID: 2993477 • Letter: T

Question

Thanks

Use the Newtonian Method to derive the differential equation of motion (in terms of x) for an airplane's steering mechanism, as modeled below. The steering wheel and tire assembly are modeled as being fixed to ground. The steering rod gear system is modeled as a linear spring and mass system (m, kz) oscillating in the x direction. The shaft-gear mechanism is modeled as the disk of inertia J and torsional stiffness kv The gear J turns through the angle 0 such that the disk does not slip on the mass. Draw the two FBDs (remember statics and dynamics?). Write the Fx equation for the rack, and the M equation for the pinion, and then combine. Relate the positions / velocities / accelerations - careful with the sign; the picture defines the translation and rotation motions in opposite directions.

Explanation / Answer

Thanks Use the Newtonian Method to derive the differential equation of motion (i

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