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Center of mass on the edge Consider the thin
Chapter 14, Problem 61E(choose chapter or problem)
QUESTION:
Center of mass on the edge Consider the thin constant-density plate \(\{(r, \theta): a \leq r \leq 1,0 \leq \theta \leq \pi\}\) bounded by two semicircles and the x-axis.
a. Find and graph the y-coordinate of the center of mass of the plate as a function of a.
b. For what value of a is the center of mass on the edge of the plate?
Questions & Answers
QUESTION:
Center of mass on the edge Consider the thin constant-density plate \(\{(r, \theta): a \leq r \leq 1,0 \leq \theta \leq \pi\}\) bounded by two semicircles and the x-axis.
a. Find and graph the y-coordinate of the center of mass of the plate as a function of a.
b. For what value of a is the center of mass on the edge of the plate?
ANSWER: