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Physics 101 Mechanics
6 months, 2 weeks ago
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Find the center of mass of the three-mass system shown in Figure below relative to the 1.00-kg mass.
And this problem, we have been given three masses and we need to figure out the center of mass of these three masses With respect to this one kg mass. So the second object, this has a mass of 1.5 kg. And the third object here at the extreme right, That has massive one one kg, provided that the separation between one kg and 1.5 kg is 0.5 m. And the separation between this mass two and three, that's two point point 25 m to figure out the center of mass, let's just consider them along the X axis Whereby we will consider this object one Katie to be positioned at the origin and here the center of mass 1.5 kg that will have to coordinate of .50. And the mass trick will have to coordinate .750. That's the coordinate with respect to this one PT mass. So we directly used the expression of determining the center of mass Axiom will be equal to everyone. X one Plus M two x 2 Plus M3 x three Divided by the total mass of these three objects. So here we multiply the masses with their ex Cardini. So first one time zero, we multiply this And then we multiply with 1.5 times 0.5 plus 1.1 times .75. And we divide by the total mass. That's 3.6 kg. To simply find this, we get the axe center of mass as zero plus 0.75 plus .8-5 Divided by three six. So we multiply them together. And because to add them to the point 8 to 5 Plus .75, We could write this by 36 at the X coordinate of central months as .4375, so the y coordinate of the center of mass. That would be absolutely zero. Because the particles are lying along Xx is only so we can definitely conclude that the center of mass of this object will be at the coordinate .43750. So if we observe this in the diagram, this will be somewhere in between The mass one and 2, but of course near to this mass to.
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