How the net external force of a system affect the center of mass (7-34)

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Question

... causes the center of mass of the system to accelerate.
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Review

Equation 7-34 looks almost exactly like Newton’s second law for a single object of mass \(m\):

\(\sum{\vec{F}_\mathrm{ext}} = m\vec{a}\)

So what Equation 7-34 tells us is that \(\textit{the center of mass of a system of objects moves exactly as if the entire mass \(M_\mathrm{tot}\) of the system were concentrated at the center of mass, and all of the external forces on the system acted on that concentrated mass}\).