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12. Given that the endpoints of the slinky must remain still (nodes), why is it not possible to place a wave with any arbitrary wavelength on the string? 13. What is the simplest standing wave pattern that could be fit on the slinky? 14. Wh at is the relationship between the slinky length L and the wavelength for this case? 15. What is the next simplest standing wave pattern that can be fit on the slinky? 16. What is the relationship between the slinky length L and the wavelength in this case? 17. Try to develop a general formula for the allowed wavelengths for standing waves on the slinky with both ends fixed.
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