Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
7
Linear Momentum
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7-1 and 7-2: Momentum and its Conservation
7-3: Collisions and Impulse
7-4 and 7-5: Elastic Collisions
7-6: Inelastic Collisions
7-7: Collisions in Two Dimensions
7-8: Center of Mass (CM)
7-9: CM for the Human Body
7-10: CM and Translational Motion

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 50
Q

Find the center of mass of the three-mass system shown in Fig. 7–37 relative to the 1.00-kg mass.

Problem 50.
Figure 7-37.
A
0.438 m0.438\textrm{ m}
Giancoli 7th Edition, Chapter 7, Problem 50 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The center of mass for a three-particle system is found by taking the mass of particle one times its distance from some reference point x 1 plus the mass of particle two times its distance from that same reference point plus the mass of particle three times its distance from that same reference point. So we'll choose the reference point to be the position of particle one in which case, its distance is 0 and then we'll take 1.50 kilograms— that's the middle particle— and it's 0.5 meters away from that reference point and then particle three which is 1.10 kilograms is a total of 0.25 plus 0.50 which is 0.75 meters from that reference point from particle one and divide by the total mass and you get a position of 0.438 meters from the 1 kilogram mass will be the center of mass.

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