Three masses – 2.0 kg, 3.0 kg, and 6.0 kg – are located at positions (3.0, 0), (6.0, 0), and (−4.0, 0), respectively, in meters from the origin (Figure 6.17). Where is the center of mass of this system? 

THINKING IT THROUGH. Since all yi = 0, obviously YCM = 0, and the CM lies somewhere on the x-axis. The masses and the positions are given, so we can use Equation 6.19 to calculate XCM directly. However, keep in mind that the positions are located by vector displacements from the origin and are indicated in one dimension by the appropriate signs (+ or −).

Transcribed Image Text:

m3 m2 A FIGURE 6.17 System of particles in one dimension Where is the system's center of mass? See Example 6.14 for description.