Discussion Overview
The discussion revolves around the frequency of a wire under tension, specifically a wire fixed at one end and connected to a spring at the other. Participants explore discrepancies between theoretical calculations and experimental results, focusing on the implications of boundary conditions and measurement techniques.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- One participant calculated the first mode frequency of a wire under tension to be 73.6 Hz using a fixed/fixed closed form solution, while experimental results showed a frequency of 110 Hz.
- Another participant suggested that the ratio of the two frequencies is close to the square root of 2, implying a potential error in the calculations, possibly related to a missing factor.
- The original poster clarified that the theoretical frequency assumes both ends are fixed, while in practice, one end is attached to a spring, which may contribute to the frequency discrepancy.
- Participants inquired about the method of measuring tension, with one confirming the use of a 2 lbs weight to create tension in the wire.
Areas of Agreement / Disagreement
Participants have not reached a consensus on the source of the frequency discrepancy. There are competing views regarding the effects of boundary conditions and measurement methods.
Contextual Notes
Theoretical calculations are based on assumptions that may not fully align with the experimental setup, particularly regarding the boundary conditions of the wire and the influence of the spring.