Nonuniform Density Center of Mass

This is an AP Physics C: Mechanics topic.

Previous Video: Center of Mass by Integration

Content Times:
0:00 Introduction
0:33 Three kinds of mass density
1:34 Translating the problem
2:19 Estimating Center of Mass
3:42 Finding Total Mass
7:10 Finding Center of Mass
8:09 Finding Our Mistake

#APPhysicsC #CenterOfMass #NonuniformDensity

[marcim]

Your videos are making me love physics. I've just used them in a high school test for the escape velocity from the center a non uniformly dense planet.

[peterverbeke]

I seriously love this. Real physics and comedy=Fun. It made my morning. Thank you so much!

[tobywang]

I didn't review this before the exam day May 3rd, so I forgot how to get the integral correctly. But I remembered how to set up this integral when I just submitted the exam! TAT

[ywzhen]

Thanks for helping with some last-minute review/cramming before the exam tomorrow!

[Fuzzy]

Your videos ae awesome- been doing this over 30 years and I think it's great that I can still pick up something new or different from you to help my lessons be better!

[jacobharris]

This is all fine and dandy but how would you ever know what the density function of a nonuniform object is? Is there some way to measure it? I know that question is probably out of the scope of this video but I can't find a straight answer to this simple question anywhere.

[djpeymq]

Three men A, B & C of masses 40 kg, 50 kg and 60 kg are standing on a plank of mass 90 kg, which is kept on a smooth horizontal plane. If A & C exchange their positions then mass B will
Any solution?

[RandomGuy-iecb]

Thank you very much, i wish you had more views, there's so much effort here

[longvinh]

When doing the final integral, I just solved for lambda(lambda = total mass/total length), and used that. But, I got the first incorrect answer..wonder why that is..

[alperdurandincer]

bro how do you clone 3 versions of yourself do you film them seperately?

[caelyn.t]

Hello! What about an object that isn’t a rod... with a non uniform cross section?

[duckymomo]

I keep hearing exposition(English word)