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Physics / Fundamentals of Physics 10 / Chapter 9 / Problem 2

Fundamentals of Physics | 10th Edition | ISBN: 9781118230725 | Authors: David Halliday; Robert Resnick; Jearl Walker

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Figure 9-35 shows a three-particle system, with masses m1

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QUESTION:

Figure 9-35 shows a three-particle system, with masses m1 ! 3.0 kg, m2 ! 4.0 kg, and m3 ! 8.0 kg. The scales on the axes are set by xs ! 2.0 m and ys ! 2.0 m.What are (a) the x coordinate and (b) the y coordinate of the systems center of mass? (c) If m3 is gradually increased, does the center of mass of the system shift toward or away from that particle, or does it remain stationary?

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QUESTION:

Figure 9-35 shows a three-particle system, with masses m1 ! 3.0 kg, m2 ! 4.0 kg, and m3 ! 8.0 kg. The scales on the axes are set by xs ! 2.0 m and ys ! 2.0 m.What are (a) the x coordinate and (b) the y coordinate of the systems center of mass? (c) If m3 is gradually increased, does the center of mass of the system shift toward or away from that particle, or does it remain stationary?

ANSWER:

Step 1 of 3 a) The X coordinate of central of mass is given by, Given, The mass of the first particle, The first particle’s x-coordinate, The mass of the second particle, The second particle’s x-coordinate, The mass of the third particle, The third particle’s x-coordinate, So,

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