Concept explainers
The golden earring A disk of radius r is removed from a larger disk of radius R to form an earring (see figure). Assume the earring is a thin plate of uniform density.
a. Find the center of mass of the earring in terms of r and R. (Hint: Place the origin of a
b. Show that the ratio R/r such that the center of mass lies at the point P (on the edge of the inner disk) is the golden mean
(Source: P. Glaister, Golden Earrings, Mathematical Gazette, 80, 1996)
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