Q1 A shaft-gear system shown in Figure 1 consists of two rotating shafts and two gears...

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Q1 A shaft-gear system shown in Figure 1 consists of two rotating shafts and two gears where J and J are the rotatory inertia of the two shafts, N and N are the total number of gears, k and k are the rotational spring stiffness and by is the rotational damping constant, respectively. If the driving torque T and the rational angle , are taken as the input and output of the system, T 8 h co www N 8 Tomm N Figure 1 (1) Find out all system equations; (2) Draw the block diagram describing the control behavior of this system; (3) Reduce the block diagram to find its transfer function; (4) Identify the time constants and gain constant. Q1 A shaft-gear system shown in Figure 1 consists of two rotating shafts and two gears where J and J are the rotatory inertia of the two shafts, N and N are the total number of gears, k and k are the rotational spring stiffness and by is the rotational damping constant, respectively. If the driving torque T and the rational angle , are taken as the input and output of the system, T 8 h co www N 8 Tomm N Figure 1 (1) Find out all system equations; (2) Draw the block diagram describing the control behavior of this system; (3) Reduce the block diagram to find its transfer function; (4) Identify the time constants and gain constant.