Question

The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements of the driving and driven spur gears are R, , ?(t) and ?(t), respectively. The ratio: n 2 is called the gear ratio Here n, and n2 are the numbers of teeth of the driving and driven gears, respectively. As shown in the figure, the motor and the driving gear are linked by a massless shaft with an equivalent rotational stiffhess k,: while the load and the driven gear are linked by a rigid massless shaft. As indicated in the figure, a pair of contact forces p(t) results fom the gear meshing. Finally, the angular motion of the load, which is also ?(t) due to the rigid link with the driven gear, is restrained by a rotational damper b,. Assume the mechanical system is at rest initially (t-0) 1m rigi ?? a. Governing equations. With the prescribed motion of the motor y(t) as the input, set up the necessary fee-body diagrams to derive the equations governing the angular displacements. 6() and ?(t), and the contact force p(t). Find also the applied torque transfer T(t) required to generate the prescribed motion of the motor (t)

i want to get part c,d

Answer 1

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