Center of Mass
The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses. For simple rigid objects with uniform density, the center of mass is located at the centroid.
Fig (a): undergoes only translational motion (all parts of the object follow the same path)
Fig (b): undergoes both translational and rotational motion (or general motion).
`x_(CM) = (m_Ax_A + m_Bx_B)/(m_A+m_B)`
Fig (a): undergoes only translational motion (all parts of the object follow the same path)
Fig (b): undergoes both translational and rotational motion (or general motion).
Usually, we use CM to describe motion of an object
Center of mass of a two-particle system:
`x_(CM) = (m_Ax_A + m_Bx_B)/(m_A+m_B)`