Let L be the lamina of uniform density p = 1 obtained by removing circle A of
Question:
Let L be the lamina of uniform density p = 1 obtained by removing circle A of radius r from circle B of radius 2r (see figure).
(a) Show that Mx, = 0 for L.
(b) Show that My, for L is equal to (My, for B) - (My, for A).
(c) Find My, for B and My, for A. Then use part (b) to compute My, for L.
(d) What is the center of mass of L?
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