Center of Mass by Integration (Rigid Objects with Shape)

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Content Times:
0:00 Introduction
0:52 Rigid Objects with Shape - Center of Mass
3:49 Center of Mass of a Right Triangle
4:23 Finding dm
6:45 Finding dV
8:12 Finding ρ
10:31 Finding y
11:56 Finding Center of Mass
13:19 Demonstrating Center of Mass

#APPhysicsC #CenterOfMass #Integration

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Lmao it took me a whole minute to realize you were saying x-position and not exposition

aniruddhvasishta

you are the best teacher i have ever seen
thanks so much

drrugzi

EXACTLY THE VIDEO I NEEDED TO SEE;
LOVED THAT YOU USED DV, DESPITE ONLY NEEDING THE AREA AND SHOWING HOW THE THICKNESS CANCELS OUT;

EXPLANATIONS FOR DIFFERENTIAL MASS AND THE COMPONENTS OF DIFFERENTIAL VOLUME ALSO MAKE SENSE AND EASY TO FOLLOW

LOVED THE DEMONSTRATION AND EXTRA TIDBIT ABOUT THE PROJECTILE MOTION AS WELL;

IVE DONE THIS TOPIC A BUNCH OF TIMES BEFORE BUT NOW IM SURE I HAVE A MORE THOROUGH UNDERSTANDING OF IT

secretaryfig

Great episode. Thanks again for making me brush up on my calculus!

AyalaMrC

please keep making videos, i wish all classes were taught like this.

nksifec

Love from india sir.... Love the way you teach🥰🥰🥰🥰

lokeshjoshi

Sometimes I love when my phone dropped in the ear at me because I was specifically searching for the answer for the question that morning thank you very much teacher, I understood very well❤

besandaood

This is a great vid. I love the different learners' approaches and attitudes.

bampy

Looks awesome! I wish I could take this video back in time and use it last November.

julielangenbrunner

good video brooo appreciate the effort

S..u..n..i..l

I get that the volumetric equations are different for each part of the integration but I'm not exactly sure why you were able to choose which shape to use for each part of the process? Specifically if you used the differential to get the first rho, why then can you use it in the context of the overall shape after rewriting the integral with respect to x? I interpreted the initial rho as the relationship between mass density and the volume of the differential (the rectangular cube) so when you rewrite the integral with respect to x you end up with the mass density of that cube as an extra factor and I'm not sure why you can then treat it as the mass density of the entire triangle.

ogginger

please help, why cant the center of mass, in this case, just be the same location as the centroid?

science

two objects kept outside for long time, it attains thermal equilibrium, BUT Consider a BLACK BODY(Ventablack painted), and silver coated paint, KEEP THEM IN AN SUNNY DAY long period, definitely black body has higher temperature (IT ABSORBS ALMOST ALL LIGHT falling on it) than silver painted RIGHT?

gowrissshanker