Exercise $6.$ A typical example of oscillations is when you try to adjust the water temperature of your shower. The water comes uniformly from the pipes, goes through the water temperature control handle, then flows to the shower head, and finally falls on you. When you turn the water on$,$ the temperature is rarely right and you need to correct it$.$ An energetic person will turn the temperature handle strongly to adjust the water temperature $($turning it down to get a colder water if the water is too hot or up if the water is too cold$).$ This results in oscillations in the water temperature.

Using the concepts you have learned in class, explain why the water temperature oscillates and how the oscillations could be reduced or eliminated.