For a rigid body in translation, show that the system of the inertial terms consists of vectors $\left(\Delta m_{i}\right) \overline{\mathbf{a}}$ attached to the various particles of the body, where $\overline{\mathbf{a}}$ is the acceleration of the mass center $G$ of the body. Further show, by computing their sum and the sum of their moments about $G,$ that the inertial terms reduce to a single vector $m \overline{\mathbf{a}}$ attached at $G$

          For a rigid body in translation, show that the system of the inertial
terms consists of vectors $\left(\Delta m_{i}\right) \overline{\mathbf{a}}$ attached to the various particles of the body, where $\overline{\mathbf{a}}$ is the acceleration of the mass center $G$ of the body. Further show, by computing their sum and the sum of their moments about $G,$ that the inertial terms reduce to a single vector $m \overline{\mathbf{a}}$ attached at $G$

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Penny Riley

05/20/2022

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For a rigid body in translation, show that the system of the inertial terms consists of vectors $\left(\Delta m_{i}\right) \overline{\mathbf{a}}$ attached to the various particles of the body, where $\overline{\mathbf{a}}$ is the acceleration of the mass center $G$ of the body. Further show, by computing their sum and the sum of their moments about $G,$ that the inertial terms reduce to a single vector $m \overline{\mathbf{a}}$ attached at $G$