Equation for combined strings force constant

[Perplexing]

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

 

[Doc Al]

Figure it out for yourself! Hint: If the two strings are in series, the tension in each must be equal.

 

[sir-pinski]

The equation for the combined strings force constant (Ktotal) can be derived by considering the strings as springs in parallel. This means that when they are hooked together, the resulting force constant will be the sum of the individual force constants (K1 and K2). Mathematically, this can be represented as:

Ktotal = K1 + K2

This equation assumes that the strings are attached in a way that they both contribute to the overall force acting on the system. This is similar to how adding two springs in parallel would result in a combined force constant equal to the sum of the individual constants.

It is important to note that this equation is only valid if the strings are attached in a way that they both contribute to the force acting on the system. If they are attached in series, the equation would be different and would involve taking the inverse of the sum of the individual force constants.

In summary, the equation for the combined strings force constant is simply the sum of the individual force constants. This can be easily understood by thinking of the strings as springs in parallel. I hope this helps and please let me know if you have any further questions.