For a long time, every time I took a shower, I had this recurring thought. “When I use some of the soap from this bottle, the amount of soap in the bottle decreases. Therefore, the centre of mass of the bottle changes. How does it change?”
I knew that the way it changed would have certain characteristics. For a cylindrical bottle, when it was full, its centre of mass would be at its centre. And when it was empty, the centre of mass would once again be at its centre. I also realised that when it was full and mass started flowing out, the height of the centre of mass would decrease. This in turn led to another question. “When is the centre of mass at its lowest?”
These were all questions I knew I needed the answer to. Being a physics major, I was equipped with the necessary tools. And so, about a month ago, I set off to get my answers. It didn’t take too long and in the end my curiosity was satisfied. Those of you interested can check out my results here.
Thanks for reading!