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Apr 27, 2017 at 13:39 comment added Meep As stated above, gravity acts on all points of an object. But since the force experienced is proportional to the mass of some element in a body (or a particle of a multi-particle system), and in calculating the centre of mass the contribution from the element is also protportional to its mass, the total force experienced by a multi-particle system is equivalent to one acting at the 'COM' on a mass equal to the total mass of the system. If the force were proportional to mass squared, this wouldn't be the case.
Apr 27, 2017 at 7:14 comment added TripeHound And the reason "using the COM" doesn't work on the seas is (as noted in @anaximander's comment to ubuntu_noob's answer) is that they aren't a rigid body. Modelling gravity through the COM only works when the object itself won't deform.
Apr 27, 2017 at 3:09 history tweeted twitter.com/StackPhysics/status/857431355520671744
Apr 26, 2017 at 19:53 answer added Steeven timeline score: 2
Apr 26, 2017 at 19:23 history protected Qmechanic
Apr 26, 2017 at 18:59 answer added Sarit Sotangkur timeline score: 0
Apr 26, 2017 at 13:46 comment added Jyrki Lahtonen It doesn't. That's one of the reasons why we have tides. The Moon pulls water closer to it a bit more strongly than it does the center of Earth and the water on the opposite side a bit more weakly. That's why sea levels rise a bit on both sides in comparison to what it is in-between.
Apr 26, 2017 at 12:57 comment added James It doesn't. As you've stated gravity acts on all points. However, the problem can be modeled as an equivalent system where the net force acts upon the COM of the object. ubuntu_noob shows the mathematical proof. The key here is modeling--a simplified problem that represents the behavior of reality.
Apr 26, 2017 at 12:23 answer added Charles Jacks timeline score: 2
Apr 26, 2017 at 3:47 vote accept Ahmed S. Attaalla
Apr 26, 2017 at 3:43 comment added dmckee --- ex-moderator kitten Closely related: physics.stackexchange.com/q/151402
Apr 26, 2017 at 3:22 history edited Qmechanic CC BY-SA 3.0
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Apr 26, 2017 at 2:35 answer added Farcher timeline score: 13
Apr 26, 2017 at 2:26 answer added Luke Pritchett timeline score: 10
S Apr 26, 2017 at 1:31 history suggested Ghosal_C CC BY-SA 3.0
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Apr 26, 2017 at 1:11 answer added Ghosal_C timeline score: 31
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Apr 26, 2017 at 0:54 answer added JEB timeline score: 14
Apr 26, 2017 at 0:29 history asked Ahmed S. Attaalla CC BY-SA 3.0