Physical Pendulum Period Ratio · PhysicsBowl 2021 #33

Physics · mechanics

Problem

Two identical uniform sticks have small holes drilled in them. The sticks are marked with equally spaced lines as shown. Each stick is suspended from a pin through the hole and is free to rotate about the pin. Both sticks are displaced a small angle from the vertical and released. What is the ratio of the period of pendulum one to the period of pendulum two? [Figure: Shows two identical sticks with holes at different positions, marked with equally spaced lines] A) 1:1 B) 2:3 C) 4:3 D) 10:9 E) 16:9

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