Mechanical Engineering: Centroids in 3-D (1 of 19) Semi-Sphere

In this video I will find the centroids, or center of mass, of a semi-sphere.

Next video in this series can be seen at:

[memr]

explain so clear that I can understand using 1.5x speed, thx!

[nurain]

This helped me a lot.May GOD bless u sir

[The_Green_Man_OAP]

Call you help me figure something out?

Okay, what I'm looking for is the center of mass (or "gravity") of a hollow sphere with a spherical cap removed from one side (that is less than a hemisphere in size). Kinda like one one those round wine glasses but without the flat base.

Also, I want to confirm that I have the correct center of mass of the (hollow bowl-shaped) spherical cap.

This video is the closest I've seen to what I am looking for.

I'm trying to use this to prove Newton's shell theorem using an alternative method from triple integrals and so on...

If you help me, I'll give you all the details of my new proof and you can go ahead and do a video on it if you want.

[OnlineToBrain]

Sir please make camera in side when you write on board because by live writing demonstration it will easy to learn.

[sleestreams]

Where did the dx go from the bottom portion of the equation? if dV = (pi)r^2 dx and you replace the dV on both the top and bottom, where did the dV go on the bottom?

[sujeewa]

This helped me thanks a lot for the video sir!

[NonefYurConcern]

since the strip we are cutting is vertical shouldnt it be

[calambuhayjr.josevirgiliog]

Sir could you explain why the center of mass of a semi circle is 4r/3pi while a semi sphere 3r/8? I can't visualize the difference. Thank you. :)

[jalilnaibi]

When we integrate the denominator dV the answer is something else. Can you explain why?

[mstoqua]

hello from Egypt :) I have a question ... what about if it on the y direction ? i wanna send a photo to show you ^_^ i cannot solve it

[AbhishekSingh-wvyl]

why we're are not taking the z axis and what is the basic way to find center of continuous body I think I must watch that first

[ethicshorts]

It is applicable for segment which is smaller than Pls reply

[julianaugust]

Why integral dV in the denominator is (2/3)Pi R^3.

[deepfriends]

Integrate 1 = x?? Why did you write integrate dv = 2/3pie R3??
But the answer is 2/3pieR3X where is the X sir please explain.. 🖤 🙏

[finianholland]

What is he saying at the beginning of every vid?

[mehulgupta]

Why cant we use angle approximation ??

[dipender]

sir why we didn't include z since it is 3d object

[muhammadalinomansaeedsaeed]

why we donot write value of the dv in the numenator same as in the denomenator instead of it we write 2/3*pie^3

[sashamuller]

please be safe in coranvirus times sir. my prayers are with you