Equation for combined strings force constant

AI Thread Summary
When two strings with force constants K1 and K2 are hooked together in series, the total force constant KTOTAL can be derived from the relationship of the individual constants. The tension remains constant across both strings, leading to the equation 1/KTOTAL = 1/K1 + 1/K2. This indicates that the total force constant is less than either of the individual constants. The derived equation simplifies the understanding of how the combined system behaves under tension. This approach ensures clarity in calculating the effective stiffness of the combined strings.
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Hi,
you have two strings, one has force constant K1, the other Force Constant K2.
You hook the two strings together.


I need to see a derived euqation using K1 and K2 to find KTOTAL (the force constant when he two strings are placed together).


Please keep things as simple as possible :D thx
 
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Figure it out for yourself! Hint: If the two strings are in series, the tension in each must be equal.
 

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