Coupled Mathematical Pendulums · Physics Brawl 2025 #6

Physics · mechanics

Problem

Consider two massless rods of length l=15l = 15 cm, each suspended by one end and able to rotate freely about their suspension points. These suspension points are at the same height, separated by a distance d=30d = 30 cm. The free ends of the rods are connected by a rod of mass m=300m = 300 g and length dd. What is the period of small oscillations if the system is displaced within the plane containing the rods? The system is in a gravitational field with acceleration gg.

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