Physics

Physics

Problem

Which of the following expressions gives the xx–coordinate of the center of mass for a system of nn particles located along a straight line? a) xcm=∑mi 2xi∑mi 2x_{cm}=\dfrac{\sum m_i^{\,2} x_i}{\sum m_i^{\,2}} b) xcm=∑xinx_{cm}=\dfrac{\sum x_i}{n} c) xcm=∑mixi∑mix_{cm}=\dfrac{\sum m_i x_i}{\sum m_i} d) xcm=∑ximi∑1mix_{cm}=\dfrac{\sum \dfrac{x_i}{m_i}}{\sum \dfrac{1}{m_i}}

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