Whatever point we want, but we have to be consistent, Times the position of M2, again we can choose Have to add to that M2, which is six kilograms Term's just gonna go away, which is okay, we're gonna In fact, it's kind of cool, because if this is X equals zero, the position of mass one is zero meters, so it's gonna be, this
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Would be X equals 10, we're free to choose that, Halfway would be X equals five and then over here, it It's positive this way, so if this is X equals zero, Here is X equals zero, let's say right here is XĮquals zero on our number line and then it goes this way, Let's just say for the sake of argument, the left-hand side over
To measure them from will also be the point, where the center of mass is measured from, in other words, you get toĬhoose where X equals zero. These positions from and wherever you decide So you get to decide where you're measuring Might be like the position, I don't know what the position is, there's no coordinate system up here, well, you get to pick, One and at this point, you might be confused, you Two kilogram mass is M1 and we're gonna have to multiply by X1, the position of mass Of mass is gonna be equal to, alright, so we'll take M1, which you could take either one as M1, but I already colored this one red, so we'll just say the This for this example problem right here and let's see what we get, we'll have the center of mass, the position of the center Of the masses added together and what you get out of this is the location of the center of mass. Times their positions and you add up all of these M times Xs, until you've accountedįor every single M times X there is in your system and then you just divide by all That you're trying to find the center of mass between, you take all those masses Of the center of mass, it's the position of theĬenter of mass is gonna equal, you take all the masses Of the center of mass, that's what this is, this Xcm is just the location
Of mass looks like this, it says the location This six kilogram mass, now they're separated by 10 centimeters, so it's somewhere in between them and we know it's gonna beĬloser to the larger mass, 'cause the center of mass is always closer to the larger mass, butĮxactly where is it gonna be? We need a formula to figure this out and the formula for the center So let's say you wanted to know where the center of mass was between this two kilogram mass and
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