Consider the pitching motion of an automobile. The figure below on the left shows a simplified...

  

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Consider the pitching motion of an automobile. The figure below on the left shows a simplified model of the auto body and rear and front springs. The figure below on the right shows the coupling of the translational and rotational vibrations. Determine the equations of motion of the car for the car's rotation and its vertical translation (you do not need to find a horizontal equation of motion). You may assume no horizontal motion of the center of mass and that the springs are deformed completely in the vertical direc- tion. The mass of the car is m and its moment of inertia about its mass center G is J. Gr k Consider the pitching motion of an automobile. The figure below on the left shows a simplified model of the auto body and rear and front springs. The figure below on the right shows the coupling of the translational and rotational vibrations. Determine the equations of motion of the car for the car's rotation and its vertical translation (you do not need to find a horizontal equation of motion). You may assume no horizontal motion of the center of mass and that the springs are deformed completely in the vertical direc- tion. The mass of the car is m and its moment of inertia about its mass center G is J. Gr k

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To determine the equations of motion for the cars rotation and vertical translation due to pitching rotational movement about the cars lateral axis we ... View the full answer