(Solution) - Figure P13 16 shows a motor mounted on four springs the -(2025 Original AI-Free Solution)

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Figure P13.16 shows a motor mounted on four springs (the second pair of springs is behind the front pair and is not visible). Each spring has a stiffness k = 2000 N/m. The distance D is 0.2 m. The inertia of the motor is I = 0.2 kg · m2; its mass is m = 25 kg, and its speed is 1750 rpm. Because the motor mounts allow the motor to vibrate both vertically and rotationally, the system has a vertical force transmissibility F1/F and a torque transmissibility T1/T, where F is the vertical unbalance force and T is the torque due to the unbalance.
Neglect damping in the system and obtain the vertical force transmissibility Ft/F and the torque transmissibility Tt/T.
Figure P13.16

Figure P13.16 shows a motor mounted on four springs (the