Can you name a geometric solid of uniform density whose center of mass would differ from its center of gravity

Answer 1

Please note, CoM & CoG are NOT the same things
In fact CoM is the whole mass of body can be taken to be concentrated at that pt for applying Newton's laws & CoG is pt through which whole gravitational force can be taken to act. For CoG we need another body applying force
Now to main question , A very tall say 10000 metres cylinder can be one example wrt earth. Coz C.M. will be geometrical centre & C.G. will be littlle nearer to earth (on same line)

Answer 2

Center of mass is the same wherever you are. Center of gravity can be different because of boyancy or gravity gradient for different orientations of any non spherical object.. So technically if you're in any sort of non uniform gravitational field, which all real ones are, the two are always a little different.

Answer 3

Love to help is a Genius and you should give him the marks.
All COG will be different to COM if there is more than one object in the system. Example the COM of earth shifts a little around the COG because of the earth moon system. That is the centre of gravity of the earth and moon is a reasonable step away from the earths COM (because the earth is actually orbitting the moon a little!). if both fell into the sun together it would be the COM of both that would fall at the sun's acceleration rate while they continued to orbit each other.

Answer 4

center of mass and center of gravity are the same providing that the gravitation Field straight is the same through out the object. center of mass is related to the mass of an object while the center of gravity is related to the weight of an object. Weight is mass x gravitation field straight. center of mass from any distance is ∑MiXi/∑Mi while center of gravity is ∑WiXi/∑Wi. center of mass maybe thus written as ∑MgiXi/∑Mgi for a uniform gravitation field g is the same through out thus c.g. is g∑MiXi/g∑Mi which is the same as ∑MiXi/∑Mi or center of mass. if the field is not uniform like from the bottom of the ocean to the top of a mountain, g would varied thus the expression of c.m. and c.g. would not be the same. thus any uniform or none uniform object that is in a none uniform gravitation field would have different c.g and c.m.

Answer 5

Since 'center of mass' and 'center of gravity' are the same thing, then No. I don't think I can do that. And I don't think that anybody else can, either ☺


Doug

Answer 6

Hmm stable question right here. Um shall we see, Dolly,Luna,Cat,Boomer,China,Tuesday,Venu... Mercy,Grace,cohesion,Angel,Jupiter,Mercu... Cosmo,Sassy,Peaches,Cookie,speedy,Sandy... Bubbles,Hyacinth,Sunny,Holly,Willow,,Sn... lacy,purple,Diamond,courtroom,June,April,Augus... choose Lavender Violet Ivy Leo Crystal Emerald Silver Ebony Bo Pluto Velvet Love Windy pal

Answer 7

I've tried to find this on the internet and have found many sites saying they are the same thing and others saying they are different so I give up.

Answer 8

a sphere