Introduce an appropriate coordinate system and find the center of mass of the planar lamina. (The answer depends on the position of the coordinate system.)
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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Expert Solution
Step 1
Given: Planar lamina To find: The center of mass by introducing an appropriate coordinate system.
Step 2
Let the coordinate system as- As seen above the centroid of the first rectangle is . The centroid of the second rectangle is The centroid of the third rectangle is
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