Centripetal Force on Rotating Disk · PhysicsBowl 2014 #23

Physics · mechanics

Problem

Two small identical coins (labeled X and Y) are at rest on a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. The distance of the coins from the center of disk is related by

d_X = \frac{1}{2}d_Y

. Which one of the following choices correctly identifies the relationship between

f_X

and

f_Y

, the frictional force on coin X and on coin Y, respectively? (A)

f_X = \frac{1}{4}f_Y

(B)

f_X = \frac{1}{2}f_Y

(C)

f_X = f_Y

(D)

f_X = 2f_Y

(E)

f_X = 4f_Y

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