Write the equations of motion for the systems given in Figure 5. Ignore the damping and masses of the members.

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Understand the Problem

The question is asking to derive the equations of motion for a given mechanical system depicted in the attached figure. It specifies to ignore the damping effects and the masses of the system members, which suggests a focus on the fundamental equations involved in the dynamics of the structure.

Answer

\( \frac{d^2}{dt^2}(3m) + \frac{6EI}{L^3}y = 0 \)

The equation of motion for the system shown in Figure 5 is: ( \frac{d^2}{dt^2}(3m) + \frac{6EI}{L^3}y = 0 ).

Answer for screen readers

The equation of motion for the system shown in Figure 5 is: ( \frac{d^2}{dt^2}(3m) + \frac{6EI}{L^3}y = 0 ).

More Information

This equation represents a simplified model of the system, ignoring any effects from mass or damping, focusing solely on elasticity.

Tips

A common mistake is failing to recognize that damping and masses are ignored, leading to incorrect application of dynamic equations.

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