Which of the following expressions gives the –coordinate of the center of mass for a…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Which of the following expressions gives the

x

–coordinate of the center of mass for a system of

n

particles located along a straight line? (a)

x_{cm}=\dfrac{\sum m_i^{\,2} x_i}{\sum m_i^{\,2}}

(b)

x_{cm}=\dfrac{\sum x_i}{n}

(c)

x_{cm}=\dfrac{\sum m_i x_i}{\sum m_i}

(d)

x_{cm}=\dfrac{\sum \dfrac{x_i}{m_i}}{\sum \dfrac{1}{m_i}}