Gillian drives down Lake Avenue and observes an odd vibrational pattern of her car antenna. She observes it vibrating back and forth in the manner shown at the right. There is an antinode at its free end and a node at the location where the antenna mounts to the car. Vibrations travel through the 86 cm tall antenna at 5.0 x 103 m/s. Determine the frequency of vibrations of the antenna.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.14P
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Gillian drives down Lake Avenue and observes an odd vibrational pattern of her car antenna. She observes it vibrating back and forth in the manner shown at the right. There is an antinode at its free end and a node at the location where the antenna mounts to the car. Vibrations travel through the 86 cm tall antenna at 5.0 x 103 m/s. Determine the frequency of vibrations of the antenna.

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