Help and please show all work. Answer is 0.15m. 5. Find the x-coordinate of the

Question

Help and please show all work. Answer is 0.15m.

5. Find the x-coordinate of the center of mass of the system below which consists of three spheres welded to two bars. The bars have no mass. The mass of the left sphere is 2.0 kg. The mass of the center sphere is 3.0 kg. The mass of the right sphere is 1.0 kg. The left sphere is centered on the origin The center of the middle sphere is 0.20 m away from the center of the left sphere. The center of the right sphere is 0.10 m away from the center of the middle sphere

Explanation / Answer

here,

m1 = 2 kg

m2 = 3 kg

m3 = 1 kg

the x-coordinate of center of mass , x = ( m1 * 0 + m2 * 0.2 + m3 * (0.2 + 0.1)) /(m1 + m2 + m3)

x = ( 0 + 3 * 0.2 + 0.3 * 1) /(1 + 2 + 3)

x = 0.15 m

the x-coordinate of center of mass is 0.15 m

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