Discussion Overview
The discussion revolves around calculating the spring constant of a typical compound archery bow, assuming it follows Hooke's law. Participants explore the implications of this assumption in the context of the bow's mechanics during full draw.
Discussion Character
- Mathematical reasoning
- Debate/contested
Main Points Raised
- One participant states that the force required to hold the arrow at full draw is 133 N and asks for help in calculating the spring constant using the formula k = W/x.
- Another participant calculates the spring constant as 1.87 N/m based on the provided force and displacement.
- A different participant argues that the problem is flawed because a compound bow does not have a constant spring constant, noting that the force required changes as the bow is drawn.
- One participant humorously suggests that the previous calculation may be incorrect and provides a different numerical answer of 187.3.
Areas of Agreement / Disagreement
There is disagreement regarding the applicability of Hooke's law to the mechanics of a compound bow, with some participants asserting that the spring constant is not constant, while others focus on the mathematical calculation without addressing this concern.
Contextual Notes
Participants have not resolved the implications of the bow's mechanics on the spring constant calculation, and there are differing interpretations of how Hooke's law applies in this context.