Concept explainers
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
a. A thin plate of constant density that is symmetric about the x-axis has a center of mass with an x-coordinate of zero.
b. A thin plate of constant density that is symmetric about both the x-axis and the y-axis has its center of mass at the origin.
c. The center of mass of a thin plate must lie on the plate.
d. The center of mass of a connected solid region (all in one piece) must lie within the region.
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