Continued from my last post, I further researched into the calculation for center of mass. Today’s post is going to be about how we derive the equations for center of mass. Mass First we need to define the mass of an…

scenic-science + thematic-mathematics | same
science ∩ math

Continued from my last post, I further researched into the calculation for center of mass. Today’s post is going to be about how we derive the equations for center of mass. Mass First we need to define the mass of an…

Tagged with: Balance, Center of mass, Moment, Probability density function, Proof

Posted in Multivariable Calculus

Posted in Multivariable Calculus

I really can’t get enough of these puzzles. Thanks to Paul Salomon for describing them. Go check out his work over at Lost In Recursion if you haven’t seen it yet. I would love to see what kinds of puzzles…

Tagged with: imbalance problems, infinite imbalance problems

Posted in Advanced Chemistry, Multivariable Calculus

Posted in Advanced Chemistry, Multivariable Calculus

How many photons does the sun emit in a second? The following worksheet was used in companion with this post for chemistry students. Our chemistry class used the work of Brian Cox and (originally) John Herschel to determine the number…

Tagged with: Advanced Chemistry, Multivariable calculus

Posted in Advanced Chemistry, Multivariable Calculus

Posted in Advanced Chemistry, Multivariable Calculus

“How do you create mathematical or scientific symbols in a WordPress blog?” you ask. It is perhaps simpler than you thought! If you are familiar with (or want to learn) , then you can do this easily. I have used…

Posted in Advanced Chemistry, Multivariable Calculus

CalTech sent me a postcard early in the fall asking a question: how do you balance a glass of water that’s tilted at an angle. I thought about that problem back then but couldn’t come up with a solution quickly,…

Tagged with: Balance, balancing, Can, centroid, glass, magic, Soda, soda can, Tilted Glass

Posted in Multivariable Calculus

Posted in Multivariable Calculus

I had forgotten about this treasure trove of excellent physics problems until I read Paul Salomon’s compelling post on his “imbalance problems”. As I thought about coming up with my own imbalance problems, I remembered this puzzler involving an infinite…

On my trip back from DC this weekend, I saw my first palindromic license plate! And after a quick Google, search, I found out that I am not alone loving these sorts of things. Which is perhaps not surprising given…

Posted in Multivariable Calculus