A ring is hung on a nail

PHYSICS · Single correct · AP · Physics C: Mechanics · Oscillations · Oscillations

Problem

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period

T_1

and, (ii) back and forth in a direction perpendicular to its plane, with a period

T_2

. The ratio

\frac{T_1}{T_2}

will be: (1)

\frac{2}{\sqrt{3}}

(2)

\frac{2}{3}

(3)

\frac{3}{\sqrt{2}}

(4)

\frac{\sqrt{2}}{3}