The golden earring A disk of radius r is removed from a largerdisk of radius R to form an earring (see figure). Assume the ear-ring 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 coordinate system either at thecenter of the large disk or at Q; either way, the earring issymmetric about the x-axis.)b. Show that the ratio – such that the center of mass lies at theRpoint P (on the edge of the inner disk) is the golden mean1+ V3* 1.618.(Source: P. Glaister, Golden Earrings, Mathematical Gazette,80, 1996)Radius rRadius R

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