It's also half way between the stationary points (if they exist).

Can I use #MathsToday for maths I did on my own in my office?

Investigating the cubic case is lovely exercise for A-Level pupils. I wonder how A-Level teachers would know the result?

@susanwhitehouse.bsky.social will have something to say about this 😂

It's got to be a snake, particularly the Adder.

What happens if the shape is symmetrical but the mean is undefined (fat tails etc). Does a shape that extends infinitely have a centre of mass?

I like that this is xcos(x) in disguise!

The real shame is that I have this textbook on my bookshelves at home 😂 That page hasn't been read for probably five years!

I'm ashamed to say that I haven't set a pulley question like this for several years. Partly because I've felt rushed through content by arbitrary internal school deadlines. I should've made time nonetheless.

I think they just imagine the weight being transferred in full to the object in contact with the body.