2 Figure 9-24 shows a three-particle system, with masses \( m_{1}=2.0 \mathrm{~kg}, m_{2}=4.0 \) kg , and \( m_{3}=8.0 \mathrm{~kg} \). The scales on the axes are set by \( x_{s}=2.0 \mathrm{~m} \) and \( y_{s}=2.0 \mathrm{~m} \). Figure 9-23 Problem 1. Figure 9-24 Problem 2.
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- \( m_1 = 2.0 \, \text{kg} \) is at \( (0, 0) \). - \( m_2 = 4.0 \, \text{kg} \) is at \( (2.0, 0) \). - \( m_3 = 8.0 \, \text{kg} \) is at \( (2.0, 2.0) \). Show more…
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Three masses are placed along the X-axis: m1 = 1.2 kg is a distance X1 = 0.27 m to the left of the origin, m2 = 1.6 kg is a distance x2 = 0.24 m to the right of the origin, and m3 = 1.4 kg is a distance x3 = 0.38 m to the right of the origin. What is the location of the center of mass of the system? 2. A new mass m4 is placed at the origin: How does the location of the center of mass of the system change? Does it move to the right, to the left, or does the center of mass not move?
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Figure 9-24 shows a three-particle system, with masses $m_{1}=2.0 \mathrm{~kg}, m_{2}=4.0$ $\mathrm{kg}$, and $m_{3}=8.0 \mathrm{~kg}$. The scales on the axes are set by $x_{s}=2.0 \mathrm{~m}$ and $y_{s}=2.0 \mathrm{~m}$. What are (a) the $x$ coordinate and (b) the $y$ coordinate of the system's center of mass? (c) If $m_{3}$ 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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