Dynamics: Free Vibration

Example 5: A toilet seat-cover

When turning the seat cover of a toilet down, one has to hold the cover and move it down to the toilet seat. Otherwise, the cover would impact on the seat and generate a loud sound. How could this be avoided?

It is demonstrated in a video clip in Model 3 of this chapter that an over-critically damped steel strip returns to its original position slowly and smoothly without experiencing vibration. This concept has been developed and used to design the seat-covers of some modern toilets. The video below shows how the cover moves slowly and gradually to the toilet seat without holding it.


The principle is also used for closing doors and for closing the covers of pianos.
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(Courtesy of Prof. B Zhuang, Zhejiang University, China)
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