Solution Found!
Explain why or why not Determine whether the
Chapter 14, Problem 39E(choose chapter or problem)
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.
Questions & Answers
QUESTION:
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.
ANSWER:Solution 39E1. This region is symmetric about -axis and its center of mass is (0.217,0)2. () = (0,0)That is we can come to a conclusion that a thin plate a constant density that is symmetric about the -axis and -axis has a center of mass as the o